0. Introduction

This document lists the exploratory data analysis, model build and analysis for Coasting on Couches, the term project for MGT 6203 Spring semester. Whilst the project document and slides/ presentation list a more human-readable version, this document combines some exposition with a lot of code to generate graphs, to put it simply.

0.1 Library Setup

The document will be shared as a Shiny app and in the raw RMd format.

Please run the following chunk to ensure all the necessary libraries are installed/ present should you wish to execute the chunks at your end. (Idea taken from this blogpost)

Please execute install.packages("pls") in the console if it’s the first time you’re running it. There could be some additional installations, depending on your operating system.

@XY, ZZ, WL: Please include this citation in our report: Hlavac, Marek (2022). stargazer: Well-Formatted Regression and Summary Statistics Tables. R package version 5.2.3. https://CRAN.R-project.org/package=stargazer

1. Loading Data

We had downloaded data from InsideAirbnb.com to the data folder. This will be available on our GitHub repo.

The data is in four parts (each city has all five elements): 1. listing: These are the actual Airbnb listings. The columns are defined here. This is set of 74 variables pertaining to a specific listing. 2. review: List of reviews per row in the listing table. 3. calendar: Price of a particular listing on a particular date, along with min-max nights for hire 4. neighbourhoods: List of neighbourhoods screened in the city 5. map: GeoJson shapefile showing district boundaries.

1.1 Raw

We will read all the data into dataset variables.

#Singapore
listing.sin <- read.csv("./data/SIN_listings.csv")
reviews.sin <- read.csv("./data/SIN_reviews.csv")
calendar.sin <- read.csv("./data/SIN_calendar.csv")
neighbourhoods.sin <- read.csv("./data/SIN_neighbourhoods.csv")
map.sin <- geojson_read("./data/SIN_neighbourhoods.geojson")

#Taipei
listing.tpe <- read.csv("./data/TPE_listings.csv")
reviews.tpe <- read.csv("./data/TPE_reviews.csv")
calendar.tpe <- read.csv("./data/TPE_calendar.csv")
neighbourhoods.tpe <- read.csv("./data/TPE_neighbourhoods.csv")
map.tpe <- geojson_read("./data/TPE_neighbourhoods.geojson")

#Tokyo
listing.nrt <- read.csv("./data/NRT_listings.csv")
reviews.nrt <- read.csv("./data/NRT_reviews.csv")
calendar.nrt <- read.csv("./data/NRT_calendar.csv")
neighbourhoods.nrt <- read.csv("./data/NRT_neighbourhoods.csv")
map.nrt <- geojson_read("./data/NRT_neighbourhoods.geojson")

#Hong Kong
listing.hkg <- read.csv("./data/HKG_listings.csv")
reviews.hkg <- read.csv("./data/HKG_reviews.csv")
calendar.hkg <- read.csv("./data/HKG_calendar.csv")
neighbourhoods.hkg <- read.csv("./data/HKG_neighbourhoods.csv")
map.hkg <- geojson_read("./data/HKG_neighbourhoods.geojson")

1.2 Initial Data Analysis

1.2.0 Number of Listings

We first see the number of listings per city.

cities  <- c("Singapore", "Tokyo", "Taipei", "Hong Kong")
no_of_listings <- c(nrow(listing.sin), nrow(listing.nrt), nrow(listing.tpe), nrow(listing.hkg))
no_of_listings.fig <- plot_ly(
  x = cities,
  y = no_of_listings,
  type = "bar", 
  text = no_of_listings
)
no_of_listings.fig <- no_of_listings.fig %>% layout(title ="No of Listings Per City", yaxis = list(title="No of Listings"))
no_of_listings.fig

Clearly, Tokyo has the largest number of listings followed by Hong Kong, Taipei and then Singapore.

1.2.1 Listings by Neighbourhood - Choropleth Maps

Let us also consider heatmaps of where the listings are in each city by neighbourhood. Admittedly, the InsideAirbnb website has a map for each city (here’s one for Taipei), but this does not show by district. At a later stage, this can be enhanced to see by variable or time-series.

generate_choropleth_by_city <- function (listing, map, city_name)
{
  listings_by_neighbourhood <- listing %>%
                                count(neighbourhood_cleansed) 
  # neighbourhoods_zero <- neighbourhoods %>%
  #                       filter(!neighbourhood %in% listings_by_neighbourhood$neighbourhood) %>%
  #                       mutate(n = 0) %>%
  #                       select(neighbourhood, n)
  # listings_by_neighbourhood <- union(listings_by_neighbourhood, neighbourhoods_zero)
  # print(listings_by_neighbourhood)
  g <- list (
    fitbounds = "locations",
    visible = FALSE
  )
  fig <- plot_ly()
  fig <- fig %>% add_trace(
    type="choropleth",
    geojson=map,
    locations=listings_by_neighbourhood$neighbourhood_cleansed,
    z=listings_by_neighbourhood$n,
    colorscale="jet",
    featureidkey="properties.neighbourhood"
  )
  
  fig <- fig %>% layout(
    geo = g
  )
  fig <- fig %>% colorbar(title = "No of listings")
  fig <- fig %>% layout(
    title = paste0("Listings by Neighbourhood - ", city_name)
  )
  fig
}

generate_choropleth_by_city(listing.sin, map.sin, "Singapore")
generate_choropleth_by_city(listing.nrt, map.nrt, "Tokyo")
generate_choropleth_by_city(listing.hkg, map.hkg, "Hong Kong")
generate_choropleth_by_city(listing.tpe, map.tpe, "Taipei")

1.2.2 Listings by Neighbourhood - Bar Charts

We could also see this as barcharts.

bar_charts_by_neighbourhood <- function (listing, city_name, neighbourhoods)
{
  listings_by_neighbourhood <- listing %>%
                                count(neighbourhood_cleansed) %>%
                                # rename(neighbourhood = neighbourhood_cleansed)
                                arrange(desc(n))
  # print(listings_by_neighbourhood)
  neighbourhoods_zero <- neighbourhoods %>%
                        filter(!neighbourhood %in% listings_by_neighbourhood$neighbourhood_cleansed) %>%
                        rename(neighbourhood_cleansed = neighbourhood) %>%
                        mutate(n = 0) %>%
                        select(neighbourhood_cleansed, n)
  print(neighbourhoods_zero)
  listings_by_neighbourhood <- union(listings_by_neighbourhood, neighbourhoods_zero)
  # print(listings_by_neighbourhood)
  fig<- plot_ly(y=listings_by_neighbourhood$neighbourhood_cleansed, x=listings_by_neighbourhood$n, type="bar", orientation="h") %>%
        layout(yaxis=list(categoryorder = "total ascending"), title=paste("Listings per neighbourhood in", city_name))
  fig
}

bar_charts_by_neighbourhood(listing.sin, "Singapore", neighbourhoods.sin)
##    neighbourhood_cleansed n
## 1             Marina East 0
## 2            Straits View 0
## 3                  Changi 0
## 4              Changi Bay 0
## 5              Paya Lebar 0
## 6   North-Eastern Islands 0
## 7                 Seletar 0
## 8                 Simpang 0
## 9                Boon Lay 0
## 10                 Tengah 0
## 11        Western Islands 0
bar_charts_by_neighbourhood(listing.nrt, "Tokyo", neighbourhoods.nrt)
##    neighbourhood_cleansed n
## 1          Aogashima Mura 0
## 2               Fussa Shi 0
## 3           Hachijo Machi 0
## 4       Higashiyamato Shi 0
## 5            Hinode Machi 0
## 6           Hinohara Mura 0
## 7               Inagi Shi 0
## 8              Kiyose Shi 0
## 9          Kozushima Mura 0
## 10        Mikurajima Mura 0
## 11            Miyake Mura 0
## 12           Mizuho Machi 0
## 13           Niijima Mura 0
## 14         Ogasawara Mura 0
## 15           Oshima Machi 0
## 16           Toshima Mura 0
bar_charts_by_neighbourhood(listing.hkg, "Hong Kong", neighbourhoods.hkg)
## [1] neighbourhood_cleansed n                     
## <0 rows> (or 0-length row.names)
bar_charts_by_neighbourhood(listing.tpe, "Taipei", neighbourhoods.tpe)
## [1] neighbourhood_cleansed n                     
## <0 rows> (or 0-length row.names)

The majority of listings in Taipei, Tokyo and Hong Kong are in tourist-heavy districts. While the top district in Tokyo is Shinjuku, that in Hong Kong is Yau Tsim Mong, Kowloon’s core urban area formed by the combination of Yau Ma Tei, Tsim Sha Tsui and Mong Kok. Taipei’s top district is Zhongzheng district (“中正區”), consisting of historic sites and cultural performances.

In contrast to the other three cities, the top district in Singapore is the high-end residential condo district, Kallang. Not tourist heavy, but close to the downtown’s many attractions. The tourist-heavy Geylang, Downtown Core and Outram districts appear after Kallang.

Taipei and Hong Kong have listings in all districts. But 11 districts in Singapore (mostly military installations or the airport) and 16 districts in Tokyo do not have any listings.

1.2.3 Amenities

There’s a column called amenities in the dataset that appears to list all the self-reported amenities in the listing as a single comma-separated list. Let’s try to see this further.

For instance, here’s the longest list of amenities among Singapore listings.

listing_amenities.sin <- listing.sin %>%
                      mutate(amenities = str_replace(amenities, "\\[","")) %>%
                      mutate(amenities = str_replace(amenities, "\\]","")) %>%
                      mutate(amenities = str_replace_all(amenities, "\"","")) %>%
                      mutate(amenities = str_replace_all(amenities, ", " ,",")) %>%
                      mutate(amenities_list = as.list(strsplit(amenities, ","))) %>%
                      mutate(no_of_am = lengths(amenities_list)) %>%
                      mutate(Wifi = as.numeric(grepl('Wifi', amenities, fixed = TRUE))) %>%
                      mutate(Shampoo = as.numeric(grepl('Shampoo', amenities, fixed = TRUE))) %>%
                      mutate(Kitchen = as.numeric(grepl('Kitchen', amenities, fixed = TRUE))) 

# listing_amenities.sin %>% select(amenities, Wifi, Shampoo, Kitchen, Patio)

max_amenities.sin <- listing_amenities.sin %>%
                      select(amenities, no_of_am) %>%
                      group_by() %>%
                     slice(which.max(no_of_am))
amenities_list_string <- as.list(strsplit(as.character(max_amenities.sin["amenities"]), ","))
amenities_list_string
## [[1]]
##  [1] "Toaster"                         "Sound system"                   
##  [3] "Safe"                            "Indoor fireplace"               
##  [5] "Backyard"                        "Hangers"                        
##  [7] "Bed linens"                      "Hot water kettle"               
##  [9] "Freezer"                         "Coffee maker"                   
## [11] "Washer"                          "Cooking basics"                 
## [13] "Bathtub"                         "Hair dryer"                     
## [15] "Clothing storage"                "Oven"                           
## [17] "Outdoor furniture"               "Paid parking on premises"       
## [19] "High chair"                      "Children\\u2019s books and toys"
## [21] "Dedicated workspace"             "Crib"                           
## [23] "Dining table"                    "Free parking on premises"       
## [25] "Pool"                            "Cleaning products"              
## [27] "Wine glasses"                    "Cleaning before checkout"       
## [29] "Game console"                    "Long term stays allowed"        
## [31] "Drying rack for clothing"        "Outdoor dining area"            
## [33] "Private entrance"                "Elevator"                       
## [35] "Patio or balcony"                "Refrigerator"                   
## [37] "Dryer"                           "Microwave"                      
## [39] "Baby bath"                       "Gym"                            
## [41] "Wifi"                            "Children\\u2019s dinnerware"    
## [43] "Smoke alarm"                     "Board games"                    
## [45] "Luggage dropoff allowed"         "Shampoo"                        
## [47] "Breakfast"                       "Extra pillows and blankets"     
## [49] "Heating"                         "Conditioner"                    
## [51] "Cable TV"                        "Hot tub"                        
## [53] "Hot water"                       "Stove"                          
## [55] "Body soap"                       "BBQ grill"                      
## [57] "Iron"                            "Essentials"                     
## [59] "Babysitter recommendations"      "Pack \\u2019n play/Travel crib" 
## [61] "Kitchen"                         "Changing table"                 
## [63] "First aid kit"                   "Dishes and silverware"          
## [65] "Air conditioning"                "Shower gel"                     
## [67] "TV with standard cable"          "Fire extinguisher"
#"Shampoo,Kitchen,Long term stays allowed,Washer,Smart lock,Hair dryer,Dryer,Wifi,Hot water,TV,Air conditioning,Smoke alarm,Fire extinguisher"

Apropos nothing, we will use the following amenities as dummy variables for price: > “Shampoo,Kitchen,Long term stays allowed,Washer,Hair dryer,Wifi,Hot water,TV,Air conditioning”

1.2.4 Host Verifications

Similarly, let us also further analyse the column host_verifications to see if we can generate dummy variables from there as well.

listing_host_verf.sin <- listing.sin %>%
                      mutate(host_verifications = str_replace(host_verifications, "\\[","")) %>%
                      mutate(host_verifications = str_replace(host_verifications, "\\]","")) %>%
                      mutate(host_verifications = str_replace_all(host_verifications, "\"","")) %>%
                      mutate(host_verifications = str_replace_all(host_verifications, ", " ,",")) %>%
                      mutate(host_verifications_list = as.list(strsplit(host_verifications, ","))) %>%
                      mutate(no_of_vf = lengths(host_verifications_list))

max_verf.sin <- listing_host_verf.sin %>%
                      select(host_verifications, no_of_vf) %>%
                      group_by() %>%
                     slice(which.max(no_of_vf))
host_verf_list_string <- as.list(strsplit(as.character(max_verf.sin["host_verifications"]), ","))
host_verf_list_string
## [[1]]
##  [1] "'email'"                 "'phone'"                
##  [3] "'facebook'"              "'google'"               
##  [5] "'reviews'"               "'jumio'"                
##  [7] "'offline_government_id'" "'selfie'"               
##  [9] "'government_id'"         "'identity_manual'"      
## [11] "'work_email'"

Let’s take this list to generate dummy variables. > [‘email’, ‘phone’, ‘facebook’, ‘reviews’, ‘manual_offline’, ‘jumio’, ‘offline_government_id’, ‘government_id’, ‘work_email’]

Let’s generalise these two bits for all cities and create dummy variables for each one of them.

wrangle_amenities_hostvf <- function (listing)
{
  listing <- listing %>%
            mutate(amenities = str_replace(amenities, "\\[","")) %>%
            mutate(amenities = str_replace(amenities, "\\]","")) %>%
            mutate(amenities = str_replace_all(amenities, "\"","")) %>%
            mutate(amenities = str_replace_all(amenities, ", " ,",")) %>%
            mutate(amenities_list = as.list(strsplit(amenities, ","))) %>%
            mutate(no_of_am = lengths(amenities_list)) %>%
            mutate(Amenities_Wifi = as.numeric(grepl('Wifi', amenities, fixed = TRUE))) %>%
            mutate(Amenities_Shampoo = as.numeric(grepl('Shampoo', amenities, fixed = TRUE))) %>%
            mutate(Amenities_Kitchen = as.numeric(grepl('Kitchen', amenities, fixed = TRUE))) %>%
            mutate(Amenities_Long_Term = as.numeric(grepl('Long term stays', amenities, fixed = TRUE))) %>%
            mutate(Amenities_Washer = as.numeric(grepl('Washer', amenities, fixed = TRUE))) %>%
            mutate(Amenities_HairDryer = as.numeric(grepl('Hair dryer', amenities, fixed = TRUE))) %>%
            mutate(Amenities_HotWater = as.numeric(grepl('Hot water', amenities, fixed = TRUE))) %>%
            mutate(Amenities_TV = as.numeric(grepl('TV', amenities, fixed = TRUE))) %>%
            mutate(Amenities_AC = as.numeric(grepl('Air conditioning', amenities, fixed = TRUE))) %>%

            mutate(host_verifications = str_replace(host_verifications, "\\[","")) %>%
            mutate(host_verifications = str_replace(host_verifications, "\\]","")) %>%
            mutate(host_verifications = str_replace_all(host_verifications, "\"","")) %>%
            mutate(host_verifications = str_replace_all(host_verifications, ", " ,",")) %>%
            mutate(host_verifications_list = as.list(strsplit(host_verifications, ","))) %>%
            mutate(hv_email = as.numeric(grepl('email', host_verifications, fixed = TRUE))) %>%
            mutate(hv_phone = as.numeric(grepl('phone', host_verifications, fixed = TRUE))) %>%
            mutate(hv_facebook = as.numeric(grepl('facebook', host_verifications, fixed = TRUE))) %>%
            mutate(hv_reviews = as.numeric(grepl('reviews', host_verifications, fixed = TRUE))) %>%
            mutate(hv_manual_offline = as.numeric(grepl('manual_offline', host_verifications, fixed = TRUE))) %>%
            mutate(hv_manual_jumio = as.numeric(grepl('jumio', host_verifications, fixed = TRUE))) %>%
            mutate(hv_manual_off_gov = as.numeric(grepl('offline_government_id', host_verifications, fixed = TRUE))) %>%
            mutate(hv_manual_gov = as.numeric(grepl('government_id', host_verifications, fixed = TRUE))) %>%
            mutate(hv_manual_work_email = as.numeric(grepl('work_email', host_verifications, fixed = TRUE))) %>%
            mutate(no_of_vf = lengths(host_verifications_list))
}

listing.sin <- wrangle_amenities_hostvf(listing.sin)
listing.nrt <- wrangle_amenities_hostvf(listing.nrt)
listing.tpe <- wrangle_amenities_hostvf(listing.tpe)
listing.hkg <- wrangle_amenities_hostvf(listing.hkg)

1.3 Data Wrangling

1.3.1 Wrangling Listings

This is a function that wrangles AirBnb data into an analysable chunk. Because we will be doing the same for multiple cities, we will do a function out of this. The function is based on top of code shared in the lecture for Module 2. The obvious additions are the id column, neighbourhoods and dummy variables for amenities and host verification.

wrangle_airbnb_dataset <- function (raw_listing_full)
{
  listing.raw <- raw_listing_full  %>% 
                select(id, price,number_of_reviews,beds,bathrooms,accommodates,reviews_per_month, property_type, room_type, review_scores_rating, neighbourhood_cleansed, host_response_time, host_response_rate, host_acceptance_rate, host_is_superhost, latitude, longitude, amenities, last_review, no_of_am, Amenities_Wifi, Amenities_Shampoo, Amenities_Kitchen, Amenities_Long_Term, Amenities_Washer, Amenities_HairDryer, Amenities_HotWater, Amenities_TV,Amenities_AC, host_verifications, hv_email,hv_phone, hv_facebook, hv_reviews, hv_manual_offline, hv_manual_jumio,hv_manual_off_gov, hv_manual_gov, hv_manual_work_email, no_of_vf) %>% 
                rename(Reviews = number_of_reviews) %>% 
                rename(Beds = beds) %>% 
                rename(Baths = bathrooms) %>% 
                rename(Capacity = accommodates) %>% 
                rename(Monthly_Reviews = reviews_per_month) %>% 
                rename(Property_Type = property_type) %>% 
                rename(Room_Type = room_type) %>% 
                rename(Price = price) %>% 
                rename(Rating = review_scores_rating) %>%
                rename(Neighbourhood = neighbourhood_cleansed) %>%
                rename(host_Superhost = host_is_superhost)


  listing.raw <-  listing.raw %>% 
                mutate(Price = str_replace(Price, "[$]", "")) %>% 
                mutate(Price = str_replace(Price, "[,]", "")) %>% 
                mutate(Price = as.numeric(Price)) %>% 
                
                mutate(hood_factor = as.factor(Neighbourhood)) %>%
                
                mutate(host_response_rate = str_replace(host_response_rate, "[%]", "")) %>%
                mutate(host_response_rate = as.numeric(host_response_rate)/100) %>%
                mutate(host_acceptance_rate = str_replace(host_acceptance_rate, "[%]", "")) %>%
                mutate(host_acceptance_rate = as.numeric(host_acceptance_rate)/100) %>%
                mutate(host_Superhost = ifelse(host_Superhost =="f", 0, 1)) %>%
    
                mutate(host_response_rate = factor(host_response_rate, levels = c("within a few hours", "within a day", "a few days or more"))) %>%
                mutate(host_response_hours = ifelse(host_response_rate == "within a few hours"),1,0) %>%
                mutate(host_response_day = ifelse(host_response_rate == "within a day"),1,0) %>%
                mutate(host_response_few_days = ifelse(host_response_rate == "a few days or more"),1,0) %>%
                
                mutate(last_review = as.Date(last_review)) %>%
                mutate(Days_since_last_review = as.numeric(difftime(as.Date("2021-12-31"), last_review, units="days"))) %>%
    
                mutate(Room_Type = factor(Room_Type, levels = c("Shared room", "Private room", "Entire home/apt"))) %>% 
                mutate(Capacity_Sqr = Capacity * Capacity) %>% 
                mutate(Beds_Sqr = Beds * Beds) %>% 
                mutate(Baths_Sqr = Baths * Baths) %>% 
                mutate(ln_Price = log(1+Price)) %>% 
                mutate(ln_Beds = log(1+Beds)) %>%
                mutate(ln_Baths = log(1+Baths)) %>% 
                mutate(ln_Capacity = log(1+Capacity)) %>% 
                mutate(ln_Rating = log(1+Rating)) %>% 
                mutate(Shared_ind = ifelse(Room_Type == "Shared room",1,0)) %>% 
                mutate(House_ind = ifelse(Room_Type == "Entire home/apt",1,0)) %>% 
                mutate(Private_ind = ifelse(Room_Type == "Private room",1,0)) %>% 
                mutate(Capacity_x_Shared_ind = Shared_ind * Capacity) %>% 
                mutate(H_Cap = House_ind * Capacity) %>% 
                mutate(P_Cap = Private_ind * Capacity) %>% 
                mutate(ln_Capacity_x_Shared_ind = Shared_ind * ln_Capacity) %>% 
                mutate(ln_Capacity_x_House_ind = House_ind * ln_Capacity) %>% 
                mutate(ln_Capacity_x_Private_ind = Private_ind * ln_Capacity) %>%
                
                filter(!is.na(Price))

  return(listing.raw)
}

list.sin <- wrangle_airbnb_dataset(listing.sin)
list.nrt <- wrangle_airbnb_dataset(listing.nrt)
list.tpe <- wrangle_airbnb_dataset(listing.tpe)
list.hkg <- wrangle_airbnb_dataset(listing.hkg)

1.3.2 Wrangling Reviews.

There’s value in understanding how many reviews a property has received in the last 12 months as a measure of how active a property is. The notion is that modelling price for active listings will be more accurate than modelling price for all listings.

The approach taken in this paper was to look listings active in the past 12 months. However, given restrictions because of pandemic, we felt it would be better to look at the period between 1 Jan 2019 and 31 Dec 2021, to include one year in addition to the two pandemic years, 2020 and 2021.

We check this by wrangling the review dataset.

count_reviews <- function(listings, reviews, from_date, to_date)
{
  reviews_grouped <- reviews %>%
                  mutate(date = as.Date(date)) %>%
                  filter(between(date, as.Date(from_date), as.Date(to_date))) %>%
                  group_by(listing_id) %>%
                  summarise(reviews_since_2019 = n()) %>%
                  mutate(bookings_since_2019 = reviews_since_2019*2) %>%
                  rename(id = listing_id)
  listings <- left_join(listings, reviews_grouped, by="id")
  return(listings)
}
start_date = "2019-1-1"
end_date = "2021-12-31"
list.sin <-count_reviews(list.sin, reviews.sin,start_date, end_date)
list.hkg <- count_reviews(list.hkg, reviews.hkg,start_date, end_date)
list.tpe <- count_reviews(list.tpe, reviews.tpe,start_date, end_date)
list.nrt <- count_reviews(list.nrt, reviews.nrt,start_date, end_date)

list_after_2019.sin <- list.sin %>% filter(!is.na(reviews_since_2019)) 
list_after_2019.tpe <- list.tpe %>% filter(!is.na(reviews_since_2019))
list_after_2019.nrt <- list.nrt %>% filter(!is.na(reviews_since_2019)) 
list_after_2019.hkg <- list.hkg %>% filter(!is.na(reviews_since_2019))

This reduces the number of listings, and hopefully, quite a few outliers.

cities  <- c("Singapore", "Tokyo", "Taipei", "Hong Kong")
no_of_listings <- c(nrow(listing.sin), nrow(listing.nrt), nrow(listing.tpe), nrow(listing.hkg))
no_of_listings_after_2019 <- c(nrow(list_after_2019.sin), nrow(list_after_2019.nrt), nrow(list_after_2019.tpe), nrow(list_after_2019.hkg))
data <- data.frame(cities, no_of_listings, no_of_listings_after_2019)
no_of_listings.fig <- plot_ly(data, 
  x = cities,
  y = ~no_of_listings,
  type = "bar", 
  text = no_of_listings,
  name = "No of Listings (All Years)"
)
no_of_listings.fig <- no_of_listings.fig %>% add_trace(y = ~no_of_listings_after_2019, text= no_of_listings_after_2019, name = "No of Active Listings")
no_of_listings.fig <- no_of_listings.fig %>% layout(title ="No of Listings Per City", yaxis = list(title="No of Listings"))
no_of_listings.fig

This roughly halves the number of listings being considered in Hong Kong and Singapore, but not in Taipei and Tokyo.

2. Variable Selection: Exploratory Data Analysis

We now attempt to check on variables for each city.

2.1 Singapore

data_exploration <- function (listing)
{
  plot_str(listing, type="r")
  introduce(listing)
  plot_intro(listing)
  plot_missing(listing)
  plot_bar(listing)
  pca_df <- na.omit(list.sin[, c("Price", "Room_Type", "Reviews", "Beds", "Capacity", "Monthly_Reviews", "host_Superhost", "Rating")])#,"Days_since_last_review", "host_response_rate", "host_response_hours", "host_acceptance_rate","host_response_day", "host_response_few_days")])
  plot_qq(pca_df)
  plot_prcomp(pca_df, variance_cap = 0.9, nrow = 2L, ncol=2L)
}
data_exploration(list.sin)

## 4 columns ignored with more than 50 categories.
## Property_Type: 51 categories
## amenities: 2815 categories
## last_review: 962 categories
## host_verifications: 140 categories

Taipei

data_exploration(list.tpe)

## 4 columns ignored with more than 50 categories.
## Property_Type: 58 categories
## amenities: 3376 categories
## last_review: 1050 categories
## host_verifications: 158 categories

Hong Kong

data_exploration(list.hkg)

## 4 columns ignored with more than 50 categories.
## Property_Type: 69 categories
## amenities: 3846 categories
## last_review: 1125 categories
## host_verifications: 150 categories

Tokyo

data_exploration(list.nrt)

## 4 columns ignored with more than 50 categories.
## Property_Type: 64 categories
## amenities: 7467 categories
## last_review: 987 categories
## host_verifications: 192 categories

2.2 Boxplots

We will now check out outliers in our data for various parameters, filtering for listings that have seen at least one booking since 1 Jan 2019, starting with Singapore data.

generate_price_boxplot <- function (listing.clean, city, comparison_col = "")
{
  # png(file = "./graphs/boxplot.png")
  if (comparison_col == "")
  {
    boxplot(listing.clean$Price, data = listing.clean, ylab="Price", main=paste("Boxplot: Price for", city))
  }
  else
    boxplot(listing.clean$Price ~ listing.clean[[comparison_col]], data = listing.clean, ylab="Price", xlab=comparison_col, main=paste("Boxplot: Price vs", comparison_col, "for", city))
  # dev.off()
}

generate_price_boxplot(list_after_2019.sin, "Singapore") #, sin_listing.clean$)

generate_price_boxplot(list_after_2019.sin, "Singapore", "Room_Type") #, sin_listing.clean$)

generate_price_boxplot(list_after_2019.sin, "Singapore", "Property_Type") #, sin_listing.clean$)

generate_price_boxplot(list_after_2019.sin, "Singapore", "Capacity") #, sin_listing.clean$)

generate_price_boxplot(list_after_2019.sin, "Singapore", "Beds") #, sin_listing.clean$)

generate_price_boxplot(list_after_2019.sin, "Singapore", "Neighbourhood") #, sin_listing.clean$)

generate_price_boxplot(list_after_2019.sin, "Singapore", "Reviews") #, sin_listing.clean$)

Seems like a single boat in Bukit Merah area (possibly next to the marina at Keppel Bay) has a very high price, at $2500/ night. Let’s look that one up more closely.

head(list_after_2019.sin %>% arrange(desc(Price)))
##         id Price Reviews Beds Baths Capacity Monthly_Reviews
## 1 20247516  2500      55    4    NA        5            1.05
## 2 22912163  1356       1    3    NA        5            0.08
## 3 21462227  1284       2    4    NA        8            0.04
## 4 29526074  1126       1    4    NA        4            0.04
## 5 29836188  1015      43    3    NA        6            1.14
## 6 37169326  1000       2    4    NA        8            0.07
##                Property_Type       Room_Type Rating Neighbourhood
## 1                       Boat Entire home/apt   4.74   Bukit Merah
## 2  Entire serviced apartment Entire home/apt   5.00        Newton
## 3              Room in hotel            <NA>   5.00 Downtown Core
## 4     Room in boutique hotel            <NA>   4.00        Outram
## 5 Entire condominium (condo) Entire home/apt   4.88 Downtown Core
## 6 Entire condominium (condo) Entire home/apt   5.00   Bukit Merah
##   host_response_time host_response_rate host_acceptance_rate host_Superhost
## 1       within a day               <NA>                 0.98              0
## 2     within an hour               <NA>                 1.00              1
## 3       within a day               <NA>                 0.00              0
## 4                N/A               <NA>                   NA              0
## 5 within a few hours               <NA>                 0.73              1
## 6 a few days or more               <NA>                   NA              0
##   latitude longitude
## 1 1.265200  103.8190
## 2 1.302360  103.8418
## 3 1.300410  103.8586
## 4 1.282540  103.8440
## 5 1.280306  103.8522
## 6 1.265860  103.8101
##                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               amenities
## 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 Shampoo,Essentials,Long term stays allowed,Carbon monoxide alarm,Hair dryer,Host greets you,Hot water,Pool,TV,Paid parking on premises,Air conditioning,Smoke alarm,Fire extinguisher
## 2                                                                                                                                                                                                                                                                                                                                                                                                Rice maker,Bidet,Safe,Toaster,Hangers,Bed linens,Hot water kettle,Washer,Hair dryer,Bathtub,Clothing storage,Host greets you,Ethernet connection,TV,High chair,Dedicated workspace,Dining table,Crib,Cleaning products,Wine glasses,Security cameras on property,Long term stays allowed,Drying rack for clothing,Private entrance,Elevator,Refrigerator,Dryer,Microwave,Gym,Wifi,Luggage dropoff allowed,Shampoo,Extra pillows and blankets,Sauna,Heating,Conditioner,Free parking garage on premises,Hot water,Stove,BBQ grill,Iron,Essentials,Kitchen,First aid kit,Dishes and silverware,Shared pool,Air conditioning,Shower gel,Fire extinguisher
## 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Shampoo,Breakfast,Essentials,Building staff,Hangers,Bed linens,Long term stays allowed,Washer,Hair dryer,Dryer,First aid kit,Wifi,Hot water,Air conditioning,Smoke alarm,Luggage dropoff allowed,Fire extinguisher
## 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               Shampoo,Breakfast,Essentials,Hangers,Bed linens,Long term stays allowed,Washer,Hair dryer,Dryer,First aid kit,Wifi,Hot water,Air conditioning,Dedicated workspace,Smoke alarm,Luggage dropoff allowed,Fire extinguisher
## 5 Rice maker,Cleaning before checkout,Baby monitor,Hangers,Bed linens,Hot water kettle,Freezer,Coffee maker,Washer,Ping pong table,Carbon monoxide alarm,Bathtub,Hair dryer,Cooking basics,55\\ HDTV,Fire pit,Oven,Clothing storage: closet and dresser,Smart lock,Electrolux stainless steel induction stove,High chair,Electrolux refrigerator,Dining table,Crib,Cleaning products,Wine glasses,Security cameras on property,Shared gym in building,Long term stays allowed,Drying rack for clothing,Laundromat nearby,Elevator,Dryer,Microwave,Waterfront,Wifi,Paid parking garage off premises,Smoke alarm,Luggage dropoff allowed,Shampoo,Shared patio or balcony,Shared garden or backyard,Extra pillows and blankets,Portable fans,Shared outdoor lap pool,Conditioner,Hot tub,Hot water,Body soap,Paid parking garage on premises,Dedicated workspace: office chair,desk,and table,BBQ grill,Iron,Shared sauna,Essentials,Window guards,Window AC unit,Kitchen,First aid kit,Dishes and silverware,Shower gel,Portable heater,Fire extinguisher
## 6                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Shampoo,Breakfast,Essentials,Hangers,Kitchen,Long term stays allowed,Washer,Elevator,Dryer,Wifi,Hot tub,Gym,Air conditioning,Free parking on premises,Pool
##   last_review no_of_am Amenities_Wifi Amenities_Shampoo Amenities_Kitchen
## 1  2020-07-28       13              0                 1                 0
## 2  2020-12-31       49              1                 1                 1
## 3  2019-12-04       17              1                 1                 0
## 4  2019-09-07       17              1                 1                 0
## 5  2021-10-12       65              1                 1                 1
## 6  2019-08-24       15              1                 1                 1
##   Amenities_Long_Term Amenities_Washer Amenities_HairDryer Amenities_HotWater
## 1                   1                0                   1                  1
## 2                   1                1                   1                  1
## 3                   1                1                   1                  1
## 4                   1                1                   1                  1
## 5                   1                1                   1                  1
## 6                   1                1                   0                  0
##   Amenities_TV Amenities_AC
## 1            1            1
## 2            1            1
## 3            0            1
## 4            0            1
## 5            1            0
## 6            0            1
##                                                                            host_verifications
## 1                'email','phone','reviews','jumio','selfie','government_id','identity_manual'
## 2                                                      'email','phone','reviews','work_email'
## 3                                                                   'email','phone','reviews'
## 4                                                                   'email','phone','reviews'
## 5 'email','phone','google','offline_government_id','selfie','government_id','identity_manual'
## 6                                                                   'email','phone','reviews'
##   hv_email hv_phone hv_facebook hv_reviews hv_manual_offline hv_manual_jumio
## 1        1        1           0          1                 0               1
## 2        1        1           0          1                 0               0
## 3        1        1           0          1                 0               0
## 4        1        1           0          1                 0               0
## 5        1        1           0          0                 0               0
## 6        1        1           0          1                 0               0
##   hv_manual_off_gov hv_manual_gov hv_manual_work_email no_of_vf   hood_factor
## 1                 0             1                    0        7   Bukit Merah
## 2                 0             0                    1        4        Newton
## 3                 0             0                    0        3 Downtown Core
## 4                 0             0                    0        3        Outram
## 5                 1             1                    0        7 Downtown Core
## 6                 0             0                    0        3   Bukit Merah
##   host_response_hours 1 0 host_response_day host_response_few_days
## 1                  NA 1 0                NA                     NA
## 2                  NA 1 0                NA                     NA
## 3                  NA 1 0                NA                     NA
## 4                  NA 1 0                NA                     NA
## 5                  NA 1 0                NA                     NA
## 6                  NA 1 0                NA                     NA
##   Days_since_last_review Capacity_Sqr Beds_Sqr Baths_Sqr ln_Price  ln_Beds
## 1                    521           25       16        NA 7.824446 1.609438
## 2                    365           25        9        NA 7.213032 1.386294
## 3                    758           64       16        NA 7.158514 1.609438
## 4                    846           16       16        NA 7.027315 1.609438
## 5                     80           36        9        NA 6.923629 1.386294
## 6                    860           64       16        NA 6.908755 1.609438
##   ln_Baths ln_Capacity ln_Rating Shared_ind House_ind Private_ind
## 1       NA    1.791759  1.747459          0         1           0
## 2       NA    1.791759  1.791759          0         1           0
## 3       NA    2.197225  1.791759         NA        NA          NA
## 4       NA    1.609438  1.609438         NA        NA          NA
## 5       NA    1.945910  1.771557          0         1           0
## 6       NA    2.197225  1.791759          0         1           0
##   Capacity_x_Shared_ind H_Cap P_Cap ln_Capacity_x_Shared_ind
## 1                     0     5     0                        0
## 2                     0     5     0                        0
## 3                    NA    NA    NA                       NA
## 4                    NA    NA    NA                       NA
## 5                     0     6     0                        0
## 6                     0     8     0                        0
##   ln_Capacity_x_House_ind ln_Capacity_x_Private_ind reviews_since_2019
## 1                1.791759                         0                 26
## 2                1.791759                         0                  1
## 3                      NA                        NA                  1
## 4                      NA                        NA                  1
## 5                1.945910                         0                 37
## 6                2.197225                         0                  2
##   bookings_since_2019
## 1                  52
## 2                   2
## 3                   2
## 4                   2
## 5                  74
## 6                   4
head(list_after_2019.sin %>% arrange(desc(reviews_since_2019)))
##         id Price Reviews Beds Baths Capacity Monthly_Reviews
## 1 43337094   134     265    1    NA        2           13.27
## 2 31527262   344     217    1    NA        2            6.24
## 3 42078904   188     203    1    NA        2            9.12
## 4 25793757   147     224    1    NA        2            5.31
## 5 37907711   199     177    3    NA        4            6.23
## 6 21415749   198     206    1    NA        1            4.24
##                Property_Type       Room_Type Rating    Neighbourhood
## 1     Room in boutique hotel    Private room   4.81    Downtown Core
## 2                       Boat Entire home/apt   4.94 Southern Islands
## 3     Room in boutique hotel    Private room   4.74    Downtown Core
## 4 Entire condominium (condo) Entire home/apt   4.78          Geylang
## 5                       Boat Entire home/apt   4.49          Punggol
## 6              Room in hotel            <NA>   4.68           Rochor
##   host_response_time host_response_rate host_acceptance_rate host_Superhost
## 1     within an hour               <NA>                 1.00              1
## 2     within an hour               <NA>                 1.00              1
## 3     within an hour               <NA>                 0.99              0
## 4     within an hour               <NA>                 1.00              1
## 5     within an hour               <NA>                 0.96              0
## 6       within a day               <NA>                 0.00              0
##   latitude longitude
## 1  1.29658  103.8560
## 2  1.24535  103.8387
## 3  1.29651  103.8555
## 4  1.31176  103.8913
## 5  1.41585  103.9001
## 6  1.30161  103.8596
##                                                                                                                                                                                                                                                                                                                                                                                                                                               amenities
## 1                                                                                                                                                                                                                                                                                                                          Shampoo,Essentials,Hangers,Kitchen,Long term stays allowed,Hair dryer,Wifi,TV,Air conditioning,Smoke alarm,Fire extinguisher
## 2                      Toaster,Sound system,Hangers,Bed linens,Hot water kettle,Coffee maker,Carbon monoxide alarm,Hair dryer,TV,Outdoor furniture,Dining table,Security cameras on property,Outdoor dining area,Private entrance,Refrigerator,Microwave,Waterfront,Wifi,Smoke alarm,Shampoo,Portable fans,Paid parking off premises,Hot water,Mini fridge,Essentials,First aid kit,Dishes and silverware,Air conditioning,Shower gel,Fire extinguisher
## 3                                                                                                                                                                                                                                                     Shampoo,Essentials,Kitchen,Long term stays allowed,Private entrance,Hair dryer,Lock on bedroom door,First aid kit,Wifi,TV,Air conditioning,Dedicated workspace,Smoke alarm,Iron,Fire extinguisher
## 4 Cleaning before checkout,Hangers,Bed linens,Cooking basics,Washer,Single level home,Carbon monoxide alarm,Hair dryer,TV,Dedicated workspace,Free parking on premises,Room-darkening shades,Long term stays allowed,Private entrance,Elevator,Refrigerator,Microwave,Gym,Wifi,Smoke alarm,Shampoo,Keypad,Heating,Hot water,Stove,Iron,Essentials,Kitchen,First aid kit,Dishes and silverware,Shared pool,Air conditioning,Shower gel,Fire extinguisher
## 5                                                     Sound system,Hangers,Bed linens,Coffee maker,Hair dryer,TV,Paid parking on premises,Lockbox,Room-darkening shades,Security cameras on property,Long term stays allowed,Patio or balcony,Pour-over coffee,Microwave,Waterfront,Wifi,Smoke alarm,Shampoo,Extra pillows and blankets,Hot water,Mini fridge,Essentials,Kitchen,EV charger,First aid kit,Air conditioning,Shower gel,Fire extinguisher
## 6                                                                                                                                                                                                        Shampoo,Breakfast,Essentials,Building staff,Hangers,Bed linens,Heating,Long term stays allowed,Washer,Hair dryer,Dryer,First aid kit,Wifi,Hot water,Air conditioning,Dedicated workspace,Smoke alarm,Luggage dropoff allowed,Fire extinguisher
##   last_review no_of_am Amenities_Wifi Amenities_Shampoo Amenities_Kitchen
## 1  2021-12-10       11              1                 1                 1
## 2  2021-09-15       30              1                 1                 0
## 3  2021-12-26       15              1                 1                 1
## 4  2021-11-27       34              1                 1                 1
## 5  2021-12-12       28              1                 1                 1
## 6  2020-03-16       19              1                 1                 0
##   Amenities_Long_Term Amenities_Washer Amenities_HairDryer Amenities_HotWater
## 1                   1                0                   1                  0
## 2                   0                0                   1                  1
## 3                   1                0                   1                  0
## 4                   1                1                   1                  1
## 5                   1                0                   1                  1
## 6                   1                1                   1                  1
##   Amenities_TV Amenities_AC
## 1            1            1
## 2            1            1
## 3            1            1
## 4            1            1
## 5            1            1
## 6            0            1
##                                                                           host_verifications
## 1                                                                            'email','phone'
## 2 'email','phone','jumio','offline_government_id','selfie','government_id','identity_manual'
## 3                                                                            'email','phone'
## 4         'email','phone','offline_government_id','selfie','government_id','identity_manual'
## 5 'email','phone','jumio','offline_government_id','selfie','government_id','identity_manual'
## 6                                                                  'email','phone','reviews'
##   hv_email hv_phone hv_facebook hv_reviews hv_manual_offline hv_manual_jumio
## 1        1        1           0          0                 0               0
## 2        1        1           0          0                 0               1
## 3        1        1           0          0                 0               0
## 4        1        1           0          0                 0               0
## 5        1        1           0          0                 0               1
## 6        1        1           0          1                 0               0
##   hv_manual_off_gov hv_manual_gov hv_manual_work_email no_of_vf
## 1                 0             0                    0        2
## 2                 1             1                    0        7
## 3                 0             0                    0        2
## 4                 1             1                    0        6
## 5                 1             1                    0        7
## 6                 0             0                    0        3
##        hood_factor host_response_hours 1 0 host_response_day
## 1    Downtown Core                  NA 1 0                NA
## 2 Southern Islands                  NA 1 0                NA
## 3    Downtown Core                  NA 1 0                NA
## 4          Geylang                  NA 1 0                NA
## 5          Punggol                  NA 1 0                NA
## 6           Rochor                  NA 1 0                NA
##   host_response_few_days Days_since_last_review Capacity_Sqr Beds_Sqr Baths_Sqr
## 1                     NA                     21            4        1        NA
## 2                     NA                    107            4        1        NA
## 3                     NA                      5            4        1        NA
## 4                     NA                     34            4        1        NA
## 5                     NA                     19           16        9        NA
## 6                     NA                    655            1        1        NA
##   ln_Price   ln_Beds ln_Baths ln_Capacity ln_Rating Shared_ind House_ind
## 1 4.905275 0.6931472       NA   1.0986123  1.759581          0         0
## 2 5.843544 0.6931472       NA   1.0986123  1.781709          0         1
## 3 5.241747 0.6931472       NA   1.0986123  1.747459          0         0
## 4 4.997212 0.6931472       NA   1.0986123  1.754404          0         1
## 5 5.298317 1.3862944       NA   1.6094379  1.702928          0         1
## 6 5.293305 0.6931472       NA   0.6931472  1.736951         NA        NA
##   Private_ind Capacity_x_Shared_ind H_Cap P_Cap ln_Capacity_x_Shared_ind
## 1           1                     0     0     2                        0
## 2           0                     0     2     0                        0
## 3           1                     0     0     2                        0
## 4           0                     0     2     0                        0
## 5           0                     0     4     0                        0
## 6          NA                    NA    NA    NA                       NA
##   ln_Capacity_x_House_ind ln_Capacity_x_Private_ind reviews_since_2019
## 1                0.000000                  1.098612                265
## 2                1.098612                  0.000000                217
## 3                0.000000                  1.098612                203
## 4                1.098612                  0.000000                199
## 5                1.609438                  0.000000                177
## 6                      NA                        NA                176
##   bookings_since_2019
## 1                 530
## 2                 434
## 3                 406
## 4                 398
## 5                 354
## 6                 352
head(list_after_2019.sin %>% filter(Property_Type == "Boat") %>% arrange (desc(reviews_since_2019)))
##         id Price Reviews Beds Baths Capacity Monthly_Reviews Property_Type
## 1 31527262   344     217    1    NA        2            6.24          Boat
## 2 37907711   199     177    3    NA        4            6.23          Boat
## 3 20247516  2500      55    4    NA        5            1.05          Boat
## 4 50433019   288       7    2    NA        5            2.50          Boat
##         Room_Type Rating    Neighbourhood host_response_time host_response_rate
## 1 Entire home/apt   4.94 Southern Islands     within an hour               <NA>
## 2 Entire home/apt   4.49          Punggol     within an hour               <NA>
## 3 Entire home/apt   4.74      Bukit Merah       within a day               <NA>
## 4 Entire home/apt   5.00          Punggol within a few hours               <NA>
##   host_acceptance_rate host_Superhost latitude longitude
## 1                 1.00              1  1.24535  103.8387
## 2                 0.96              0  1.41585  103.9001
## 3                 0.98              0  1.26520  103.8190
## 4                 0.92              0  1.41480  103.8986
##                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           amenities
## 1                                                                                                                                                                                  Toaster,Sound system,Hangers,Bed linens,Hot water kettle,Coffee maker,Carbon monoxide alarm,Hair dryer,TV,Outdoor furniture,Dining table,Security cameras on property,Outdoor dining area,Private entrance,Refrigerator,Microwave,Waterfront,Wifi,Smoke alarm,Shampoo,Portable fans,Paid parking off premises,Hot water,Mini fridge,Essentials,First aid kit,Dishes and silverware,Air conditioning,Shower gel,Fire extinguisher
## 2                                                                                                                                                                                                                 Sound system,Hangers,Bed linens,Coffee maker,Hair dryer,TV,Paid parking on premises,Lockbox,Room-darkening shades,Security cameras on property,Long term stays allowed,Patio or balcony,Pour-over coffee,Microwave,Waterfront,Wifi,Smoke alarm,Shampoo,Extra pillows and blankets,Hot water,Mini fridge,Essentials,Kitchen,EV charger,First aid kit,Air conditioning,Shower gel,Fire extinguisher
## 3                                                                                                                                                                                                                                                                                                                                                                                                                             Shampoo,Essentials,Long term stays allowed,Carbon monoxide alarm,Hair dryer,Host greets you,Hot water,Pool,TV,Paid parking on premises,Air conditioning,Smoke alarm,Fire extinguisher
## 4 Toaster,Bidet,Sound system,Rice maker,Hangers,Bed linens,Hot water kettle,Cooking basics,Freezer,Washer,Bathtub,Hair dryer,TV,Outdoor furniture,Dining table,Dedicated workspace,Free parking on premises,Lockbox,Cleaning products,Clothing storage: closet,dresser,and wardrobe,Long term stays allowed,Outdoor dining area,Private entrance,Pocket wifi,Refrigerator,Waterfront,Wifi,Smoke alarm,Induction stove,Dishwasher,Extra pillows and blankets,Portable fans,Hot water,Mini fridge,Iron,Essentials,Boat slip,Kitchen,EV charger,First aid kit,Air conditioning,Dishes and silverware,Fire extinguisher
##   last_review no_of_am Amenities_Wifi Amenities_Shampoo Amenities_Kitchen
## 1  2021-09-15       30              1                 1                 0
## 2  2021-12-12       28              1                 1                 1
## 3  2020-07-28       13              0                 1                 0
## 4  2021-12-07       45              1                 0                 1
##   Amenities_Long_Term Amenities_Washer Amenities_HairDryer Amenities_HotWater
## 1                   0                0                   1                  1
## 2                   1                0                   1                  1
## 3                   1                0                   1                  1
## 4                   1                1                   1                  1
##   Amenities_TV Amenities_AC
## 1            1            1
## 2            1            1
## 3            1            1
## 4            1            1
##                                                                           host_verifications
## 1 'email','phone','jumio','offline_government_id','selfie','government_id','identity_manual'
## 2 'email','phone','jumio','offline_government_id','selfie','government_id','identity_manual'
## 3               'email','phone','reviews','jumio','selfie','government_id','identity_manual'
## 4                                                                                    'phone'
##   hv_email hv_phone hv_facebook hv_reviews hv_manual_offline hv_manual_jumio
## 1        1        1           0          0                 0               1
## 2        1        1           0          0                 0               1
## 3        1        1           0          1                 0               1
## 4        0        1           0          0                 0               0
##   hv_manual_off_gov hv_manual_gov hv_manual_work_email no_of_vf
## 1                 1             1                    0        7
## 2                 1             1                    0        7
## 3                 0             1                    0        7
## 4                 0             0                    0        1
##        hood_factor host_response_hours 1 0 host_response_day
## 1 Southern Islands                  NA 1 0                NA
## 2          Punggol                  NA 1 0                NA
## 3      Bukit Merah                  NA 1 0                NA
## 4          Punggol                  NA 1 0                NA
##   host_response_few_days Days_since_last_review Capacity_Sqr Beds_Sqr Baths_Sqr
## 1                     NA                    107            4        1        NA
## 2                     NA                     19           16        9        NA
## 3                     NA                    521           25       16        NA
## 4                     NA                     24           25        4        NA
##   ln_Price   ln_Beds ln_Baths ln_Capacity ln_Rating Shared_ind House_ind
## 1 5.843544 0.6931472       NA    1.098612  1.781709          0         1
## 2 5.298317 1.3862944       NA    1.609438  1.702928          0         1
## 3 7.824446 1.6094379       NA    1.791759  1.747459          0         1
## 4 5.666427 1.0986123       NA    1.791759  1.791759          0         1
##   Private_ind Capacity_x_Shared_ind H_Cap P_Cap ln_Capacity_x_Shared_ind
## 1           0                     0     2     0                        0
## 2           0                     0     4     0                        0
## 3           0                     0     5     0                        0
## 4           0                     0     5     0                        0
##   ln_Capacity_x_House_ind ln_Capacity_x_Private_ind reviews_since_2019
## 1                1.098612                         0                217
## 2                1.609438                         0                177
## 3                1.791759                         0                 26
## 4                1.791759                         0                  7
##   bookings_since_2019
## 1                 434
## 2                 354
## 3                  52
## 4                  14
head(list_after_2019.sin %>% group_by(id, Property_Type, bookings_since_2019) %>% summarise(percent_of_total = bookings_since_2019*100/sum(list_after_2019.sin$bookings_since_2019)) %>% filter(Property_Type == "Boat") %>% arrange (desc(bookings_since_2019)))
## `summarise()` has grouped output by 'id', 'Property_Type'. You can override
## using the `.groups` argument.
## # A tibble: 4 × 4
## # Groups:   id, Property_Type [4]
##         id Property_Type bookings_since_2019 percent_of_total
##      <int> <chr>                       <dbl>            <dbl>
## 1 31527262 Boat                          434           0.967 
## 2 37907711 Boat                          354           0.788 
## 3 20247516 Boat                           52           0.116 
## 4 50433019 Boat                           14           0.0312

There are four boats listed on Airbnb Singapore. Together, they form roughly 2% of all bookings since 2019.

2.3 Correlation Matrices

list_of_vars = c("reviews_since_2019", "Rating", "Reviews", "Beds", "Capacity", "Monthly_Reviews","host_acceptance_rate", 
                 "host_Superhost", "no_of_am","Amenities_Wifi","Amenities_Shampoo","Amenities_Kitchen","Amenities_Long_Term","Amenities_Washer",
                 "Amenities_HairDryer", "Amenities_HotWater", "Amenities_TV", "Amenities_AC", "hv_email",  "hv_facebook", "hv_reviews",
                 "hv_manual_offline", "hv_manual_jumio", "hv_manual_off_gov", "hv_manual_gov", "hv_manual_work_email", "no_of_vf", "Days_since_last_review",
                 "Shared_ind", "House_ind", "Private_ind", "reviews_since_2019","bookings_since_2019") #, "hood_factor")
list_after_2019.sin %>% select_(.dots = c(list_of_vars), "Price")
##      reviews_since_2019 Rating Reviews Beds Capacity Monthly_Reviews
## 1                     9   4.44      20    3        6            0.16
## 2                     4   4.16      24    1        3            0.19
## 3                    19   4.41      47    2        3            0.36
## 4                     5   4.39      20    1        1            0.19
## 5                     3   4.55      13    1        1            0.11
## 6                    17   4.43     133    1        2            1.10
## 7                     2   4.20      14    1        1            0.12
## 8                     2   4.67      10    1        1            0.10
## 9                    24   4.58      58    1        1            0.49
## 10                   15   4.43      81    1        2            0.81
## 11                   21   4.39     165    1        2            1.40
## 12                   26   4.82      80    1        2            0.89
## 13                    1   4.63      72    1        4            0.65
## 14                    5   4.73      70    1        2            0.64
## 15                    1   4.00       2    1        1            0.02
## 16                    3   4.14      14    1        1            0.14
## 17                    3   4.78      40    2        4            0.37
## 18                    4   4.54      71    1        2            0.65
## 19                    1   5.00       2    2        2            0.03
## 20                   53   4.87     247    1        1            2.32
## 21                  149   4.84     255    1        2            2.57
## 22                    7   4.42      45    4        5            0.46
## 23                   13   4.79      39    1        2            0.40
## 24                   10   4.58      36    2        3            0.37
## 25                   10   4.90      91    2        5            0.88
## 26                    1   4.14       9    1        1            0.10
## 27                    3   4.40       5    1        1            0.11
## 28                   37   4.56     150    1        1            1.52
## 29                   22   4.67      93    1        1            0.97
## 30                   10   4.79      28    1        2            0.29
## 31                    2   4.51      77    1        4            0.81
## 32                   96   4.93     369    3        5            3.81
## 33                   10   4.79      14    1        1            0.16
## 34                   25   4.06      50    1        2            0.53
## 35                    1   3.00       2    4        4            0.05
## 36                   20   4.75      61    1        2            0.66
## 37                   11   4.54      13    1        1            0.18
## 38                    2   4.89       9    1        1            0.10
## 39                    2   5.00       7    1        1            0.08
## 40                    1   4.78      18   12       12            0.20
## 41                   13   4.85      13    1        1            0.46
## 42                    2   4.00       2    1        1            0.06
## 43                    3   4.51      49    4        4            0.56
## 44                    5   4.85      26    1        2            0.30
## 45                   14   4.69      81    1        2            0.91
## 46                   19   4.85      67    1        2            0.75
## 47                    1   5.00       2    1        1            0.02
## 48                   10   4.77      35    3        4            0.40
## 49                   10   4.40      49   12       12            0.57
## 50                    6   4.35      21   12       12            0.24
## 51                    1   4.79      14    1        2            0.16
## 52                   62   4.59     312    3        5            3.57
## 53                   20   4.75      59    1        2            0.68
## 54                   21   4.79      66    1        2            0.76
## 55                   46   4.41     133    1        2            1.53
## 56                   62   4.21     210    1        2            2.42
## 57                    4   4.38       8    1        2            0.09
## 58                   42   4.79      66    1        8            0.76
## 59                    1   5.00       5    1        3            0.06
## 60                    4   4.69      16    2        3            0.19
## 61                   91   4.77     124    1        2            1.43
## 62                    5   4.25      16    1        2            0.23
## 63                  163   4.81     226    1        2            2.62
## 64                   26   4.71      62    1        2            0.75
## 65                    6   4.73      77    1        2            0.90
## 66                   17   4.33      87    1        3            1.01
## 67                    6   4.38       9    6        4            0.11
## 68                    6   4.63      27    1        2            0.31
## 69                   21   4.75      96    1        2            1.12
## 70                   15   4.20      50    1        2            0.59
## 71                   18   4.27      49    1        2            0.58
## 72                   45   4.57     102    1        2            1.20
## 73                   10   4.62      26    4        5            0.31
## 74                   24   4.80     124    8       15            1.46
## 75                    7   4.78      24    1        2            0.29
## 76                    2   3.67       4    1        3            0.10
## 77                   41   4.44     168    2        3            1.99
## 78                    1   4.83       6    1        2            0.08
## 79                   68   4.72     119    1        2            1.43
## 80                    7   4.55      22    1        2            0.26
## 81                   27   4.20      81    1        2            0.96
## 82                    4   4.80       5    1        1            0.07
## 83                   18   4.72      78    2        4            0.96
## 84                    7   4.78       9    1        2            0.11
## 85                   24   4.13      67    1        2            0.80
## 86                    7   4.82      12    1        2            0.15
## 87                    4   4.70      12    1        2            0.15
## 88                  100   4.69     251    1        2            3.02
## 89                   69   4.73     205    1        2            2.51
## 90                   91   4.75     294    1        2            3.54
## 91                    1   4.33       3    1        3            0.06
## 92                    4   4.86       7    1        3            0.10
## 93                    6   4.91      11    1        2            0.15
## 94                   60   4.77     266    3        7            3.22
## 95                   45   4.80     209    3        6            2.55
## 96                   11   4.67      18    1        1            0.22
## 97                    6   4.59     112    1        2            1.38
## 98                    9   4.63      69    1        1            0.86
## 99                    4   4.76      42    1        2            0.51
## 100                  33   4.86     151    1        7            1.91
## 101                  38   4.82     286    1        5            3.53
## 102                  44   4.84     296    1        3            3.62
## 103                  12   4.43      23    1        2            0.30
## 104                  40   4.80     212    3        3            2.60
## 105                  45   4.60      77    2        4            0.97
## 106                  36   4.83     247    1        6            3.04
## 107                  35   4.82     147    1        2            1.81
## 108                  16   4.68     130    1        2            1.60
## 109                  11   4.73      66    1        2            0.81
## 110                  22   4.61      66   NA        2            0.84
## 111                  14   4.65      31    1        2            0.38
## 112                   8   4.82      33    1        1            0.41
## 113                  11   4.74      86    1        2            1.08
## 114                  12   4.62      17    3        3            0.22
## 115                   1   5.00       1    1        2            0.05
## 116                   1   4.90      10    1        1            0.13
## 117                  13   4.73      33    1        2            0.42
## 118                   3   4.80      11    2        4            0.15
## 119                  15   4.63      51    1        2            0.73
## 120                  12   4.76      25    1        1            0.32
## 121                  49   4.56     126    1        3            2.14
## 122                  23   4.87      60    1        2            0.75
## 123                  16   4.68      60    2        4            0.76
## 124                  14   4.72      65    1        2            0.82
## 125                   8   4.78      55    1        2            0.69
## 126                  23   4.69      35   NA        3            0.44
## 127                  10   4.92      38    2        2            0.48
## 128                   2   4.44       9    1        2            0.12
## 129                  14   4.78      64    1        2            0.83
## 130                   1   5.00       3    1        2            0.05
## 131                  23   4.90      99    1        2            1.28
## 132                   5   5.00      15    1        1            0.19
## 133                   3   4.61      18    1        2            0.23
## 134                  11   4.57      49    2        4            0.62
## 135                  13   4.91      58    2        2            0.74
## 136                  12   4.88      75    1        2            0.95
## 137                   2   3.63       9    4        6            0.12
## 138                   6   4.65      23    1        3            0.29
## 139                  10   4.67      61    1        2            0.77
## 140                   2   4.75       4    1        1            0.06
## 141                  23   4.71      55    1        2            0.71
## 142                   8   4.76      38    1        2            0.48
## 143                  17   4.82      45    1        2            0.58
## 144                  14   4.78      88    1        2            1.12
## 145                   6   4.81      32    1        2            0.42
## 146                   9   4.73      11    2        4            0.14
## 147                   3   4.60       5    5        2            0.08
## 148                   4   4.76      25    1        3            0.36
## 149                   6   4.94      34    1        2            0.46
## 150                  24   4.73      57    2        4            0.73
## 151                   1   4.85      20    1        1            0.26
## 152                   6   4.82      11    1        2            0.15
## 153                   1   4.92      12    1        2            0.15
## 154                  34   4.87      83    1        2            1.09
## 155                   3   4.60      25    1        2            0.33
## 156                   2   4.43       7    2        2            0.10
## 157                  15   4.58      66    1        2            0.86
## 158                   5   5.00      12    1        1            0.16
## 159                   1   1.00       1    1        2            0.03
## 160                   2   4.62      29    2        1            0.38
## 161                   7   4.23      13    1        2            0.17
## 162                  11   4.38      34    1        2            0.44
## 163                  10   4.23      22    1        2            0.29
## 164                  21   4.76      58    2        4            0.77
## 165                   1   4.25       5    2        3            0.07
## 166                   3   4.75      29    1        2            0.39
## 167                   8   4.39      34    5        7            0.49
## 168                 110   4.67     167    1        2            2.26
## 169                   2   4.42      21    3        6            0.28
## 170                   3   4.38       8    1        3            0.11
## 171                   1   5.00       1    1        3            0.25
## 172                   1   4.33       3    1        1            0.05
## 173                   3   5.00       5    1        3            0.11
## 174                   1   4.75       4    1        3            0.06
## 175                   1   4.83       6    1        3            0.09
## 176                   4   4.50       6    1        3            0.09
## 177                   6   4.58      12    1        3            0.16
## 178                  32   4.83     203    1        2            2.67
## 179                  24   4.09     131    1        1            1.71
## 180                  12   4.12      25    1        1            0.33
## 181                   1   3.33       3    1        1            0.05
## 182                  10   4.30      40    1        1            0.53
## 183                  36   4.45     190    4        5            2.48
## 184                   9   4.00      31    4        4            0.42
## 185                  14   4.88     148    1        2            1.94
## 186                 144   4.72     174    1        3            2.28
## 187                  37   4.22      95    1        2            1.25
## 188                  17   4.22      72    1        2            0.95
## 189                   5   3.88       8    1        2            0.11
## 190                   2   3.67       6    1        1            0.09
## 191                  24   4.09      80    8        1            1.08
## 192                   2   3.63       8    1        1            0.11
## 193                   3   4.00      13    1        1            0.18
## 194                  12   4.89      35    4        5            0.46
## 195                   2   4.84      32    2        3            0.43
## 196                   3   4.38       8    9        9            0.12
## 197                   3   4.53      17    6        6            0.24
## 198                  10   4.51      38    8        8            0.51
## 199                   7   4.43      21    8        8            0.28
## 200                   3   4.20      10    1        3            0.14
## 201                   6   4.75      20    2        6            0.30
## 202                  16   4.51      45    4        4            0.61
## 203                   1   5.00       1    7        7            0.03
## 204                  12   4.77      13    1        2            0.24
## 205                   7   4.17      23    1        1            0.31
## 206                   2   4.00       2    2        2            0.06
## 207                   2   4.50      26    1        2            0.35
## 208                   2   5.00       9    1        2            0.12
## 209                  15   4.43      35    5        5            0.49
## 210                   4   4.00       8    6        6            0.12
## 211                   2   4.60      15    7        7            0.21
## 212                   5   4.67       9    8        8            0.13
## 213                   3   4.50       4    7        7            0.07
## 214                   3   4.71       7   16       16            0.10
## 215                   2   4.86      29    1        1            0.39
## 216                  26   4.75      95    2        2            1.30
## 217                   4   4.46      24    1        2            0.33
## 218                  55   4.33     107    1        2            1.77
## 219                  53   4.70     206   NA        1            2.82
## 220                   2   4.57      23    1        1            0.32
## 221                  15   4.56      95    1        1            1.29
## 222                  11   5.00      12    1        1            0.32
## 223                  51   4.64     188   NA        1            2.55
## 224                   1   4.20       5    1        2            0.08
## 225                   2   4.15      13    4        1            0.18
## 226                  21   4.93      92    1        1            1.26
## 227                   1   4.75       4    2        2            0.06
## 228                   1   5.00       1    6        6            0.04
## 229                  48   4.77     157    1        1            2.18
## 230                   6   4.89      10    1        1            0.14
## 231                   1   5.00      13    1        1            0.18
## 232                   1   4.85      26    1        1            0.39
## 233                   4   4.84      70    1        1            0.98
## 234                   2   5.00      13    1        1            0.18
## 235                   1   3.25       4    2        2            0.09
## 236                  81   4.65     179    3        4            2.46
## 237                  17   4.89      92    1        2            1.26
## 238                   4   4.48      24    5       10            0.33
## 239                  10   4.65      44    4       16            0.60
## 240                   1   4.13      15   16       16            0.21
## 241                   2   4.18      33   16       16            0.46
## 242                   3   4.18      28   16       16            0.39
## 243                   6   4.27      30   16       16            0.41
## 244                   4   4.09      67   16       16            0.94
## 245                   2   4.00       7   16       16            0.11
## 246                   8   4.12      59   16       16            0.81
## 247                  14   4.21      34   16       16            0.47
## 248                   2   4.00       6    4        4            0.12
## 249                  45   4.52      71    5        6            1.26
## 250                   1   4.50       2    1        1            0.04
## 251                   1   4.17       6    2        6            0.08
## 252                  56   4.74     215    1        2            3.17
## 253                   2   4.00      14    1        2            0.20
## 254                  23   4.89      36   NA        2            0.51
## 255                  54   4.83     145    1        2            2.05
## 256                 110   4.83     354    1        2            4.99
## 257                  29   4.78      83    1        1            1.23
## 258                   1   3.80       5    8        1            0.07
## 259                   7   4.60      46    1        2            0.65
## 260                  56   4.86     164    2        3            2.33
## 261                  32   4.56      40    2        2            0.69
## 262                   6   4.89      10    1        2            0.23
## 263                  47   4.84     103    1        2            1.48
## 264                   6   4.83       6    2        4            0.17
## 265                   7   4.50       8    1        3            0.21
## 266                   2   4.67       9    4        5            0.13
## 267                   1   5.00       2    1        2            0.04
## 268                  66   4.68     133    1        2            1.94
## 269                  42   4.71      77    1        2            1.12
## 270                  47   4.53      98    1        2            1.41
## 271                  17   4.60      30    1        2            0.44
## 272                  59   4.81     179    1        1            2.61
## 273                  78   4.75     227    1        1            3.25
## 274                  21   4.87      71    1        1            1.10
## 275                   5   4.80      11    1        1            0.20
## 276                 103   4.85     253    3        4            3.80
## 277                   5   4.26      25   12        2            0.36
## 278                   3   4.44      39   16       16            0.57
## 279                   3   5.00       6    1        2            0.10
## 280                  14   4.45      92    1        1            1.34
## 281                   2   4.42      67    1        1            0.98
## 282                   1   4.00       9   16       16            0.14
## 283                   1   4.50       4    1        1            0.06
## 284                   5   4.42      26   10       10            0.38
## 285                   1   4.00       4    1        1            0.07
## 286                  34   4.38      72   10       10            1.08
## 287                  54   4.34     158   12       12            2.31
## 288                   2   4.75       5    1        1            0.07
## 289                  34   4.71      72    1        1            1.05
## 290                 118   4.84     274    1        2            4.60
## 291                   2   5.00       2    1        3            0.11
## 292                  23   4.85      71    1        2            1.03
## 293                  19   4.72      74    1        2            1.09
## 294                   6   4.00       7    1        2            0.10
## 295                   1   4.67       9    1        1            0.13
## 296                  25   4.44      62    1        1            0.92
## 297                  35   4.80      83    1        2            1.22
## 298                   1   3.63       9    1        2            0.14
## 299                  47   4.87     101    2        2            1.50
## 300                   2   5.00       2    1        1            0.07
## 301                  14   4.90      31    3        6            0.45
## 302                  18   4.85      47    1        4            0.69
## 303                   2   4.75      16    1        2            0.24
## 304                   2   4.75      12    1        2            0.20
## 305                   1   4.00       3    1        1            0.08
## 306                   2   5.00       3    2        3            0.05
## 307                   2   3.00       3    2        2            0.05
## 308                   2   5.00       4    1        1            0.09
## 309                   4   4.72      49    3        4            0.79
## 310                   4   4.44      16   13       13            0.24
## 311                  12   4.41      17   13       13            0.25
## 312                   5   4.73      56    1        2            0.84
## 313                   3   4.75      65    4        6            0.96
## 314                  21   4.86      50    1        1            0.75
## 315                   1   5.00       2    1        1            0.04
## 316                  10   5.00      15    1        5            0.25
## 317                  35   4.80      92    1        2            1.48
## 318                   6   4.10      10    1        5            0.18
## 319                   2   4.71       8    2        2            0.12
## 320                   3   4.93      14    2        4            0.26
## 321                   1   4.60       5    3        4            0.09
## 322                  31   4.67      59    2        2            1.06
## 323                  16   4.58      24    1        1            0.62
## 324                   2   4.89      19    1        2            0.31
## 325                   1   4.50       6    1        3            0.09
## 326                   8   4.91      11    2        4            0.23
## 327                   1   4.75       4    1        3            0.08
## 328                   4   4.42      12    4        4            0.18
## 329                   1   5.00       2    1        1            0.03
## 330                   1   4.00       1    1        3            0.13
## 331                   5   4.80      15    1        2            0.29
## 332                  11   4.82      38    2        4            0.59
## 333                  63   4.82     148    3        5            2.39
## 334                  30   4.77      48    1        2            0.73
## 335                   3   4.10      33    6        6            0.50
## 336                   3   4.33       4    1        1            0.08
## 337                  13   4.51      60   20       16            0.92
## 338                  36   4.74      85    1        3            1.31
## 339                   2   5.00       9    1        2            0.14
## 340                   1   4.50       4    1        1            0.06
## 341                   4   4.33       9    1        2            0.18
## 342                   2   4.82      22    1        2            0.34
## 343                   9   4.87      39    1        2            0.61
## 344                   1   4.50       2    1        2            0.05
## 345                   1   4.50       2    4        4            0.04
## 346                   6   4.80      20    1        2            0.31
## 347                  14   4.63      62    1        2            0.97
## 348                  14   4.88      26    1        2            0.42
## 349                  20   4.57      52    2        5            0.84
## 350                   6   4.73      11    2        2            0.19
## 351                  33   4.35      57    3        5            0.90
## 352                   3   5.00       4    1        3            0.08
## 353                   1   4.25       4    1        1            0.06
## 354                   6   4.63      24    1        2            0.38
## 355                   3   4.83       6    1        1            0.09
## 356                  15   4.68      19    3        5            0.33
## 357                   2   3.50       4    5        6            0.07
## 358                  15   4.42      32    1        2            0.53
## 359                   6   5.00       6    1        2            0.22
## 360                   1   5.00       1    2        4            0.28
## 361                  37   4.69      61    1        2            0.99
## 362                   3   4.60       5    3        6            0.08
## 363                   2   4.50       4    1        2            0.07
## 364                   2   5.00       2    1        1            0.08
## 365                  79   4.80     105    1        1            1.71
## 366                 118   4.77     146    1        2            2.40
## 367                   2   4.50       2    2        3            0.07
## 368                   3   4.63      17    1        1            0.27
## 369                  40   4.89      45    1        1            0.72
## 370                   4   4.00       4    1        2            0.23
## 371                   8   4.44       9    1        2            0.16
## 372                   1   4.00       1    1        2            0.09
## 373                   1   3.00       2    2        4            0.03
## 374                   4   4.00       6    1        2            0.12
## 375                   8   4.79      29    1        2            0.47
## 376                   8   4.83      12    1        2            0.25
## 377                   5   4.50      12    1        2            0.21
## 378                   5   4.59      17    1        2            0.29
## 379                   6   4.91      11    1        2            0.18
## 380                   7   4.36      14    1        2            0.23
## 381                   9   4.80      35    4        6            0.65
## 382                   1   4.00      10   10       10            0.17
## 383                  11   4.93      15    1        2            0.24
## 384                  17   4.21      28    2        6            0.49
## 385                   1   5.00       1    2        4            0.04
## 386                   4   4.75       4    1        3            0.14
## 387                   4   5.00       4    1        3            0.13
## 388                   2   4.22      89   16       16            1.44
## 389                   3   4.18      11   16       16            0.19
## 390                   2   4.06      18   10       10            0.30
## 391                  40   4.86     167    1        2            2.72
## 392                  16   4.85      88    2        2            1.43
## 393                  27   4.90     127    2        2            2.09
## 394                  21   4.87      98    1        2            1.63
## 395                  12   4.75      24    1        2            0.41
## 396                   3   4.80       5    1        2            0.09
## 397                   9   4.85      34    1        2            0.56
## 398                  41   4.84      69    1        1            1.14
## 399                  19   4.97      32    1        2            0.54
## 400                  16   4.84      32    1        2            0.53
## 401                  76   4.55     141    2        2            2.47
## 402                   1   4.00       1    1        2            0.03
## 403                  17   4.59      18    2        1            0.49
## 404                   1   4.13      15   12       12            0.25
## 405                   2   4.73      11   10       10            0.18
## 406                  32   4.50      81    1        3            1.35
## 407                  55   4.76     113    2        6            1.97
## 408                   3   4.91      35    1        2            0.64
## 409                   6   4.75      12    1        2            0.20
## 410                   3   4.50      19    1        2            0.32
## 411                   2   4.75       8    1        2            0.14
## 412                   7   4.93      14    1        2            0.23
## 413                  12   4.43      38    1        2            0.64
## 414                   5   4.93      16    2        3            0.27
## 415                   8   4.50      23    1        2            0.40
## 416                  92   4.74     233    1        2            3.89
## 417                  26   4.60      89    3        4            1.49
## 418                   9   4.32      36   10       12            0.61
## 419                  10   4.86      28    2        2            0.47
## 420                   1   3.50       2   16       16            0.04
## 421                   1   4.00       3    2        1            0.05
## 422                   2   4.75       4    1        3            0.07
## 423                   3   4.50       4    2        3            0.07
## 424                   3   4.00       5    2        2            0.12
## 425                   1   5.00       1    2        6            0.04
## 426                  10   4.75      12    1        2            0.29
## 427                   5   5.00       8    1        1            0.15
## 428                   6   4.73      15    1        2            0.26
## 429                   1   4.00      16   NA       16            0.29
## 430                  16   4.41      58    2        6            1.00
## 431                   1   4.50       2    1        1            0.03
## 432                  10   4.50      24    1        2            0.41
## 433                  29   4.59      56    4        5            0.97
## 434                   2   5.00       5    1        1            0.12
## 435                   4   4.21      43   16       16            0.74
## 436                   6   4.98      47    1        2            0.92
## 437                  15   4.93      32    1        2            0.59
## 438                   1   4.50       2    1        1            0.03
## 439                   3   4.38      10    2        3            0.18
## 440                  34   4.51     104    2        3            1.80
## 441                   2   4.44       9    1        3            0.17
## 442                   1   4.86       7    1        2            0.12
## 443                   3   5.00       7    1        2            0.12
## 444                  26   4.52      67    1        5            1.18
## 445                   5   5.00       8    1        2            0.16
## 446                  83   4.85      96    1        2            1.71
## 447                  42   4.86      50    1        1            0.88
## 448                   4   4.75       4    2        2            0.13
## 449                   3   3.75       4    2        2            0.11
## 450                   8   4.00       8    2        3            0.22
## 451                   3   4.33       3    2        4            0.12
## 452                  11   4.73      11    1        1            0.36
## 453                  21   4.60      50    1        2            1.10
## 454                  33   4.70      52    1        2            0.92
## 455                   1   4.00       9   NA        2            0.17
## 456                   2   5.00       9    4        6            0.16
## 457                   5   4.33      15    1        2            0.27
## 458                   7   4.79      15    1        1            0.28
## 459                   1   4.25       4    2        6            0.07
## 460                   5   4.50       6    1        2            0.14
## 461                  34   4.38     117    3        4            2.08
## 462                  10   4.40      10    1        1            0.29
## 463                  28   4.79      29    1        2            0.78
## 464                   2   4.10      10    1        1            0.18
## 465                  52   4.75     138    1        2            2.41
## 466                   1   5.00       2    1        1            0.04
## 467                  44   4.79     127    1        2            2.26
## 468                  32   4.49      68    1        2            1.24
## 469                   3   4.86      21    1        4            0.37
## 470                  22   4.82      40    2        3            0.72
## 471                   2   5.00       2    1        2            0.07
## 472                   1   5.00       1    1        1            0.03
## 473                  11   5.00      31    2        4            0.56
## 474                  13   4.88      24    1        4            0.46
## 475                   1   5.00       7    1        2            0.13
## 476                  15   4.82      22    1        2            0.50
## 477                   2   4.43       7    1        2            0.13
## 478                   8   4.50      16    1        2            0.30
## 479                   2   4.55      11    1        2            0.20
## 480                   5   4.50       8    1        2            0.15
## 481                  22   5.00      31   NA        1            0.62
## 482                   2   4.80      11    1        1            0.20
## 483                   1   4.50       2    1        1            0.05
## 484                  11   4.55      11    1        1            0.31
## 485                  53   4.74      80    2        2            1.46
## 486                   4   4.73      30    1        2            0.55
## 487                   1   4.67       3    3        6            0.06
## 488                   1   5.00       1    1        4            0.04
## 489                   6   4.43       7    1        3            0.19
## 490                   4   5.00       4    1        3            0.11
## 491                   5   4.62      13    2        3            0.28
## 492                   2   4.90      10    2        3            0.20
## 493                   8   4.57      21    1        3            0.39
## 494                  12   4.76      21    1        3            0.39
## 495                   4   4.86       7    1        1            0.13
## 496                  14   4.38      16    1        2            0.39
## 497                  22   4.72      25    1        2            0.60
## 498                   2   4.00       2    1        3            0.29
## 499                   4   4.82      28    2        3            0.53
## 500                   5   4.78       9    1        3            0.19
## 501                  12   4.84      19    3        5            0.39
## 502                  16   4.77      35    1        1            0.65
## 503                   6   4.85      13    1        2            0.25
## 504                  11   4.70      20    3        5            0.39
## 505                  25   4.86      44    1        2            0.81
## 506                   9   4.93      15    1        2            0.28
## 507                   1   3.67       6    1        3            0.12
## 508                  10   5.00      17    1        2            0.31
## 509                  11   4.93      15    1        2            0.28
## 510                   9   5.00      10    1        2            0.24
## 511                  10   4.95      19    1        2            0.38
## 512                   1   5.00       2    1        1            0.04
## 513                  42   4.73      90    2        3            1.67
## 514                   4   4.00       5    1        2            0.10
## 515                   4   3.80       5    3        3            0.13
## 516                   2   4.50       2    3        6            0.41
## 517                   1   4.00       4    3        7            0.07
## 518                   8   4.82      11    4        7            0.21
## 519                  13   4.91      23    1        2            0.43
## 520                   1   3.00       1    1        1            0.06
## 521                   2   4.67       3    2        3            0.06
## 522                  23   4.84      37    1        2            0.70
## 523                   3   5.00       7    1        2            0.14
## 524                  16   4.97      33    1        2            0.61
## 525                  14   4.92      25    1        2            0.47
## 526                  22   4.94      32    1        2            0.60
## 527                   2   3.67       4    2        4            0.08
## 528                  13   4.95      20    1        2            0.40
## 529                   7   4.90      10    3        5            0.22
## 530                   1   4.00       1    3        6            0.13
## 531                   4   4.00       6    3        5            0.12
## 532                   7   4.79      14    3        5            0.27
## 533                   1   4.33       3   12       12            0.06
## 534                   1   4.00       1   12       12            0.04
## 535                   1   5.00       1   10       10            0.03
## 536                   9   5.00      13    1        3            0.28
## 537                  26   4.74      55    4        5            1.05
## 538                  14   4.89      19    1        4            0.42
## 539                   5   4.17       6    1        2            0.13
## 540                   3   3.50       4    1        2            0.08
## 541                   7   5.00      11    1        6            0.22
## 542                  25   4.97      38    1        3            0.78
## 543                   1   4.81      21    1        1            0.40
## 544                   3   3.67       3    2        3            0.09
## 545                   1   5.00       1    1        1            0.04
## 546                   5   4.29       7    1        2            0.17
## 547                   1   3.75       4    1        2            0.08
## 548                   2   3.67       3    1        2            0.07
## 549                   3   4.40       5   NA        2            0.10
## 550                  33   4.70      53    1        2            1.04
## 551                   1   4.10      41    2        2            0.79
## 552                  47   4.79      99    1        2            1.92
## 553                 133   4.74     153    3        2            3.05
## 554                   4   4.25       4    1        1            0.11
## 555                   1   4.00       1    1        1            0.03
## 556                   5   5.00       6    1        2            0.15
## 557                   8   4.82      11    1        2            0.23
## 558                  12   4.94      17    1        2            0.35
## 559                  22   4.97      30    1        2            0.63
## 560                   7   4.88       8    1        2            0.19
## 561                   9   5.00       9    1        2            0.25
## 562                  10   4.93      29    1        2            0.58
## 563                  41   4.82      83    2        4            1.61
## 564                   3   4.67       3    1        2            0.09
## 565                   4   5.00      10    1        2            0.20
## 566                   1   0.00       1    1        1            0.04
## 567                   4   4.22      10    1        2            0.20
## 568                   5   4.82      11    1        1            0.22
## 569                   6   4.67       6    1        1            0.18
## 570                  12   4.73      22    1        2            0.44
## 571                  59   4.59      86    1        2            1.72
## 572                   2   5.00       2    2        3            0.06
## 573                 176   4.68     206    1        1            4.24
## 574                  18   4.67      48    1        1            0.98
## 575                  11   4.14      14    1        2            0.29
## 576                   6   5.00       7    1        1            0.14
## 577                  38   4.56      59    1        2            1.23
## 578                   1   5.00       2    4        8            0.04
## 579                   8   4.94      16    1        2            0.33
## 580                   1   4.50       2    2        2            0.04
## 581                  30   4.52      54    1        2            1.10
## 582                  10   4.86      21    4        7            0.44
## 583                   4   5.00       5    1        2            0.14
## 584                   2   5.00       2    1        1            0.07
## 585                  22   4.84      32    1        2            0.66
## 586                   2   5.00       2    1        2            0.06
## 587                   1   5.00       1    1        1            0.04
## 588                  23   4.80      41    1        2            0.82
## 589                  10   4.83      12    1        2            0.26
## 590                  41   4.48      69    1        1            1.41
## 591                   7   4.88      16    1        2            0.34
## 592                  28   4.82      57    1        2            1.16
## 593                  32   4.88      51    1        2            1.05
## 594                  12   4.80      25    1        2            0.51
## 595                  26   4.76      90    2        2            1.81
## 596                  26   4.63      46    1        2            1.07
## 597                   2   4.88      25    1        2            0.51
## 598                   1   5.00       1    1        1            0.04
## 599                   2   4.67       3    1        1            0.07
## 600                  16   4.91      25    1        1            0.51
## 601                  10   4.78      18    1        2            0.37
## 602                   9   4.78       9    1        1            0.26
## 603                  62   4.26      95    1        2            1.93
## 604                  77   4.67     159    1        2            3.29
## 605                   1   5.00       1    2        2            0.03
## 606                   1   4.00       2    2        4            0.05
## 607                  50   4.52      79    1        3            1.62
## 608                  14   4.82      28    2        6            0.57
## 609                  47   4.55      77    2        3            1.57
## 610                  17   4.48      31    1        3            0.66
## 611                   1   3.50       2    1        1            0.05
## 612                  11   4.83      18    1        2            0.37
## 613                   1   5.00       2    1        1            0.04
## 614                  25   4.54      50    1        3            1.05
## 615                   2   4.50       2    1        1            0.07
## 616                   2   4.00       2    1        1            0.06
## 617                  61   4.73      97    3        6            2.02
## 618                   6   4.90      10    1        2            0.22
## 619                   2   4.60       5    1        2            0.11
## 620                   4   4.56      10   NA        2            0.22
## 621                   1   4.00       2    1        1            0.04
## 622                   2   4.75       4    1        2            0.08
## 623                   3   3.25       5    4        4            0.11
## 624                  47   4.53      67    1        3            1.42
## 625                   1   5.00       1    1        2            0.04
## 626                   1   5.00       2    1        1            0.05
## 627                 122   4.93     143    1        3            2.99
## 628                   4   4.88       8    4        7            0.17
## 629                   1   5.00       2    1        2            0.04
## 630                   1   5.00       1    3        5            0.08
## 631                   7   4.67       9    1        2            0.21
## 632                  20   4.97      32    1        2            0.68
## 633                  28   4.44      46    1        1            1.08
## 634                   4   4.40       6    2        3            0.13
## 635                   5   4.80       5    1        2            0.28
## 636                   2   5.00       2    1        2            0.25
## 637                  40   4.58      66    1        2            1.46
## 638                   2   2.50       2    3        6            0.06
## 639                   5   4.71       7    3        5            0.15
## 640                   3   4.60       5    1        1            0.11
## 641                  32   4.39      51    2        3            1.10
## 642                   1   5.00       1    1        2            0.03
## 643                  27   4.50      50    2        3            1.07
## 644                  37   4.79      38    1        2            0.88
## 645                   1   5.00       2    1        2            0.05
## 646                  17   4.79      24    1        1            0.58
## 647                   2   4.00       3    1       16            0.08
## 648                   1   0.00       1    1        1            0.04
## 649                   4   4.80      10    2        1            0.22
## 650                   7   4.60      10    1        2            0.23
## 651                   3   5.00       8    2        3            0.18
## 652                  15   4.78      19    1        2            0.42
## 653                  80   4.78     120    3        8            2.62
## 654                   8   4.47      17    1        1            0.37
## 655                   5   5.00       7    1        2            0.15
## 656                   1   3.00       1    2        4            0.03
## 657                   8   4.89       9    3        4            0.23
## 658                  12   4.83      30    1        2            0.66
## 659                  48   4.65      51    2        3            1.15
## 660                   4   5.00       5    1        2            0.12
## 661                  89   4.72      89    1        2            2.55
## 662                   1   5.00       2    1        2            0.05
## 663                  38   4.40      69    5        6            1.52
## 664                  21   4.90      30    1        2            0.66
## 665                   3   2.75       4    1        2            0.09
## 666                   9   4.67       9    2        4            0.25
## 667                   2   3.86       7    2        4            0.17
## 668                   2   3.33       3    2        4            0.08
## 669                   3   4.67       3    2        3            0.09
## 670                   2   4.33       3    2        3            0.07
## 671                   1   5.00       1    2        2            0.08
## 672                   6   3.91      11    2        2            0.26
## 673                   3   4.33       3    2        2            0.09
## 674                   2   3.60       5    1        2            0.11
## 675                  17   4.17      23    1        2            0.51
## 676                  12   4.16      25    1        2            0.55
## 677                   2   4.10      10    1        2            0.23
## 678                   1   3.00       1    3        6            0.04
## 679                   2   5.00       4    3        6            0.10
## 680                   1   4.00       2    3        6            0.05
## 681                   1   4.00       2    1        2            0.05
## 682                  10   4.86      14    1        2            0.32
## 683                  10   4.76      17    1        2            0.39
## 684                   2   4.33       3    1        2            0.07
## 685                   7   5.00      10    2        4            0.24
## 686                   6   4.86       7    2        4            0.17
## 687                  14   4.68      19    1        2            0.45
## 688                   1   5.00       1    3        7            0.08
## 689                   1   5.00       3    2        5            0.08
## 690                  53   4.64      73    2        4            1.64
## 691                  23   4.43      30    3        3            0.68
## 692                   1   3.00       2    1        2            0.05
## 693                   1   5.00       3    1        1            0.07
## 694                   2   4.20       6    1        1            0.13
## 695                   2   4.00       3    1        2            0.08
## 696                   5   3.57       7    1        1            0.17
## 697                  28   4.18      38    1        1            0.88
## 698                  43   4.50      76    1        2            1.71
## 699                  55   4.45      82    1        2            1.86
## 700                  60   4.47      89    2        2            1.99
## 701                   1   4.50       2    1        2            0.05
## 702                   1   4.00       1    4        8            0.08
## 703                   1   3.00       1    1        1            0.06
## 704                   1   3.50       2    1        1            0.05
## 705                  31   4.19      36    1        2            0.87
## 706                 135   4.72     181    1        2            4.10
## 707                  14   4.71      21    2        4            0.49
## 708                 103   4.63     134    2        2            3.10
## 709                  13   4.44      28    2        4            0.65
## 710                   1   3.14       7    2        4            0.16
## 711                  36   4.73      46    1        4            1.05
## 712                  89   4.60     129    2        2            2.93
## 713                   2   4.00       6    1        2            0.14
## 714                  19   4.14      22    1        2            0.50
## 715                   3   4.40       5    1        2            0.12
## 716                   3   4.33       3    1        2            0.08
## 717                   2   4.00       2    1        2            0.07
## 718                   7   3.88       8    1        2            0.20
## 719                  42   4.29      48    2        2            1.20
## 720                   4   4.57       7    2        2            0.16
## 721                   2   4.50       2    2        2            0.08
## 722                   1   3.00       1    2        2            0.04
## 723                   4   4.83       6    1        2            0.15
## 724                   2   5.00       2    2        3            0.07
## 725                  24   4.28      52    2        4            1.18
## 726                   7   4.86       7    2        4            0.26
## 727                  16   4.43      36    2        6            0.84
## 728                   5   4.20       5    1        1            0.17
## 729                  21   4.54      37    1        2            0.85
## 730                   3   4.50       6    3        4            0.15
## 731                  15   4.55      20    1        2            0.46
## 732                  83   4.62     113    1        2            2.59
## 733                  77   4.69     110    1        2            2.51
## 734                   5   4.43       8    2        6            0.19
## 735                   1   5.00       2    1        1            0.05
## 736                  34   4.67      48    1        3            1.11
## 737                   3   4.80       5    1        3            0.12
## 738                   3   4.67       3    1        3            0.16
## 739                  30   4.22      45    1        2            1.04
## 740                   4   4.45      15    2        4            0.35
## 741                   8   4.88      13    1        2            0.31
## 742                  62   4.73     103    4        3            2.36
## 743                   2   3.50       2    1        2            0.07
## 744                   1   4.25       5    2        2            0.12
## 745                  32   5.00      52    1        2            1.23
## 746                   2   3.00       5    1        2            0.12
## 747                   1   4.56       9    1        2            0.21
## 748                  13   4.72      31    2        4            0.72
## 749                   1   4.00       1    2        4            0.03
## 750                   5   4.86       7    1        2            0.16
## 751                   2   5.00       4    1        3            0.10
## 752                 199   4.78     224    1        2            5.31
## 753                  11   4.75      16    2        2            0.37
## 754                   9   4.30      33    1        2            0.77
## 755                   1   5.00       1    1        1            0.04
## 756                   6   4.38       8    1        2            0.19
## 757                   5   4.00       5    3        6            0.14
## 758                  19   4.57      23    2        4            0.59
## 759                  57   4.64      78    3        4            1.81
## 760                   1   5.00       1    1        2            0.03
## 761                   8   4.40      15    1        2            0.35
## 762                   5   4.31      13    1        4            0.30
## 763                   2   5.00       2    2        4            0.06
## 764                 124   4.90     168    1        2            3.91
## 765                   9   4.38      16    2        4            0.38
## 766                   1   4.00       1    1        2            0.05
## 767                  17   4.78      23    1        4            0.55
## 768                   1   5.00       2    1        1            0.05
## 769                  26   4.55      41    1        2            1.00
## 770                   9   4.82      17    1        2            0.42
## 771                  42   4.89      63    1        2            1.48
## 772                   8   4.80      10    1        2            0.25
## 773                   4   4.71       7    4        5            0.17
## 774                  23   4.70      30    1        1            0.73
## 775                   5   5.00       5    1        2            0.16
## 776                  51   4.75      69    1        2            1.64
## 777                   1   3.50       2    1        1            0.05
## 778                   3   4.80       5    4        6            0.13
## 779                   1   4.33       4    1        4            0.10
## 780                   2   5.00       6    1        2            0.14
## 781                   1   5.00       1    2        3            0.04
## 782                  23   4.50      36    1        2            0.88
## 783                  25   4.45      39    1        2            0.96
## 784                   2   4.50       2    2        4            0.08
## 785                  18   4.50      32    2        4            0.77
## 786                   1   5.00       1    1        1            0.03
## 787                  19   4.70      20    1        2            0.54
## 788                   4   4.00       6    1        2            0.15
## 789                  35   4.56      43    1        2            1.04
## 790                   5   4.86       7    2        3            0.17
## 791                  17   4.55      20    1        4            0.49
## 792                  30   4.56      40    1        3            1.00
## 793                   3   5.00       6    2        4            0.15
## 794                  50   4.52      50    3        3            1.51
## 795                   4   5.00       5    2        2            0.12
## 796                   2   5.00       2    1        2            0.06
## 797                   5   4.86       7    1        2            0.18
## 798                  26   4.48      29    2        3            0.73
## 799                   1   4.00       1    1        2            0.04
## 800                   1   3.00       2    1        3            0.05
## 801                   9   4.64      11    1        2            0.27
## 802                  40   4.39      46   36        6            1.15
## 803                   2   4.00       2    1        2            0.06
## 804                  20   4.69      26    1        3            0.65
## 805                  35   4.56      39    1        3            1.02
## 806                  83   4.84     106    2        4            2.65
## 807                  28   4.86      28    2        2            0.80
## 808                   7   5.00       9    2        2            0.23
## 809                  15   4.27      15    1        3            0.94
## 810                   1   5.00       1    2        4            0.04
## 811                   2   5.00       2    1        2            0.07
## 812                  89   4.70     103    3        8            2.62
## 813                  76   4.87      92    7       16            2.35
## 814                   2   5.00       2    1        1            0.07
## 815                  21   4.86      21    1        1            0.60
## 816                   1   0.00       1    2        3            0.04
## 817                  19   4.18      22   10       10            0.56
## 818                  66   4.73      71    3        4            1.83
## 819                   1   5.00       9    1        3            0.23
## 820                  11   4.18      11    1        2            0.31
## 821                   2   4.71       7    1        2            0.18
## 822                   1   5.00       1    1        2            1.00
## 823                   1   5.00       1    1        2            0.04
## 824                   8   4.67       9    1        1            0.24
## 825                   1   5.00       1    1        1            0.04
## 826                   2   5.00       2    1        1            0.07
## 827                  59   4.58      62    1        2            1.66
## 828                  29   4.79      29    1        2            0.84
## 829                   3   5.00       4    1        2            0.10
## 830                   1   5.00       1    6        6            0.03
## 831                   4   4.75       4    1        1            0.12
## 832                   7   4.57       7    1        5            0.20
## 833                   3   5.00       5    2        2            0.13
## 834                  42   4.98      42    2        2            1.18
## 835                   6   4.00       6   10       10            0.18
## 836                   1   3.00       1   10       10            0.03
## 837                   2   4.00       2   10       10            0.08
## 838                   4   3.88       8   10       10            0.21
## 839                   2   4.00       2   10       10            0.06
## 840                   1   4.00       1    1        1            0.05
## 841                   1   4.00       1    4        4            0.04
## 842                   2   4.00       2    1        1            0.06
## 843                   4   4.40       5    3        5            0.14
## 844                   2   4.50       2    1        2            0.06
## 845                   1   5.00       4    1        1            0.11
## 846                   1   5.00       1    3        5            0.03
## 847                  15   4.72      18    1        1            0.48
## 848                   1   4.00       1    4        4            0.04
## 849                   1   5.00       1    1        2            0.03
## 850                   9   4.91      11    1        1            0.29
## 851                  21   4.83      23    1        2            0.62
## 852                  12   4.86      14    1        2            0.37
## 853                  39   4.86      43    1        2            1.15
## 854                   8   4.88       8    1        2            0.22
## 855                  24   4.81      27    1        2            0.72
## 856                  28   5.00      28    1        1            0.77
## 857                   2   4.67       3    2        4            0.08
## 858                   1   5.00       1    1        2            0.05
## 859                   1   5.00       1    1        2            0.03
## 860                  37   4.88      43    3        6            1.14
## 861                  12   4.00      13    1        2            0.35
## 862                   3   3.67       3    2        4            0.10
## 863                   5   4.80       5    3        6            0.14
## 864                   1   5.00       1    1        1            0.04
## 865                   1   5.00       1    1        2            0.03
## 866                   7   5.00       7    1        2            0.19
## 867                   1   5.00       1    1        1            0.03
## 868                  38   4.72      39    2        4            1.07
## 869                   1   5.00       1    1        1            0.03
## 870                   2   4.50       2    2        4            0.51
## 871                   6   4.17       6    3        5            0.17
## 872                   1   5.00       1    2        4            0.04
## 873                   1   5.00       2    1        2            0.05
## 874                   6   5.00       6    1        2            0.19
## 875                   1   5.00       1    1        2            0.25
## 876                   1   5.00       1    1        2            0.34
## 877                   1   5.00       1    1        1            0.03
## 878                   8   4.50       8    2        4            0.24
## 879                   1   4.00       1    3        5            0.04
## 880                   7   4.86       7    1        2            0.20
## 881                   1   5.00       1    1        1            0.03
## 882                   3   5.00       3    1        2            0.08
## 883                   1   3.00       1    1        1            0.03
## 884                   1   5.00       1    1        1            0.03
## 885                  13   4.58      13    1        2            0.44
## 886                   2   5.00       2    1        1            0.07
## 887                   1   5.00       1    1        1            0.03
## 888                   1   5.00       1    1        1            0.04
## 889                   1   5.00       1    1        1            0.04
## 890                  25   4.78      27    1        2            0.74
## 891                   3   5.00       3    5        6            0.09
## 892                 104   4.92     105    2        3            2.87
## 893                   1   4.00       1    1        1            0.04
## 894                   1   4.00       1    1        1            0.03
## 895                   2   5.00       2    1        1            0.07
## 896                   1   5.00       2    1        1            0.05
## 897                   7   5.00       7    1        1            0.20
## 898                   2   3.67       4    1        1            0.11
## 899                   2   5.00       2    1        1            0.06
## 900                  27   4.93      27    1        2            0.74
## 901                  20   4.65      20    2        3            0.55
## 902                   1   5.00       1    1        1            0.04
## 903                   2   3.50       2    1        4            0.07
## 904                  13   4.67      13    1        2            0.36
## 905                  57   4.89      57    1        2            1.60
## 906                   1   5.00       1    1        2            0.05
## 907                  60   4.77      60    1        2            1.68
## 908                  23   4.83      23    1        1            0.65
## 909                   2   5.00       2    1        2            0.06
## 910                  29   5.00      29    2        3            0.80
## 911                  13   4.92      13    3        3            0.36
## 912                   1   5.00       1    1        1            0.07
## 913                   1   5.00       1    1        2            0.03
## 914                   1   5.00       1    1        1            0.03
## 915                   2   5.00       2    1        2            0.06
## 916                   1   5.00       1    2        4            0.03
## 917                   2   5.00       2    2        4            0.11
## 918                   1   4.00       1    2        5            0.04
## 919                   2   5.00       2    1        2            0.17
## 920                  15   4.93      15    1        2            0.46
## 921                  16   5.00      16    1        2            0.44
## 922                 217   4.94     217    1        2            6.24
## 923                  25   4.80      25    1        1            0.70
## 924                   1   5.00       1    3        6            0.03
## 925                  31   4.81      31    1        2            0.87
## 926                   1   1.00       1    1        2            0.03
## 927                   7   4.71       7    1        2            0.20
## 928                   4   3.33       4    1        2            0.14
## 929                   5   5.00       5    3        6            0.15
## 930                   3   5.00       3    2        5            0.09
## 931                   9   4.44       9    1        2            0.28
## 932                  18   4.88      18    1        1            0.51
## 933                   4   5.00       4    1        1            0.12
## 934                  20   4.95      20    1        2            0.58
## 935                  66   4.85      66    3        8            1.88
## 936                  21   4.57      21    1        1            0.61
## 937                  30   4.73      30    1        2            0.85
## 938                  11   4.82      11    1        1            0.32
## 939                   6   5.00       6    1        2            0.22
## 940                  11   4.73      11    1        2            0.35
## 941                   7   4.57       7    1        2            0.20
## 942                  13   4.92      13    1        1            0.41
## 943                   2   5.00       2    2        4            0.06
## 944                   6   5.00       6    4        4            0.20
## 945                   8   4.88       8    3        6            0.23
## 946                  27   4.74      27    1        2            0.77
## 947                   2   5.00       2    1        1            0.14
## 948                   2   5.00       2    1        2            0.07
## 949                   2   4.00       2    2        4            0.06
## 950                   1   0.00       1    1        2            0.04
## 951                  31   4.45      31    1        1            0.89
## 952                   3   5.00       3    2        3            0.11
## 953                   4   5.00       4    1        2            0.17
## 954                  15   4.17      15    1        2            0.43
## 955                   8   4.38       8    5        6            0.25
## 956                   3   5.00       3    2        3            0.09
## 957                   5   4.20       5    1        2            0.16
## 958                   1   5.00       1    1        1            0.03
## 959                   1   5.00       1    2        4            0.04
## 960                   8   4.38       8    3        6            0.23
## 961                   1   5.00       1    2        4            0.03
## 962                  47   4.51      47    1        2            1.39
## 963                  41   4.80      41    5        6            1.20
## 964                  10   4.50      10    1        2            0.33
## 965                   1   4.00       1    1        1            0.04
## 966                   8   4.88       8    1        2            0.25
## 967                  11   4.91      11    1        2            0.34
## 968                  12   4.75      12    1        2            0.37
## 969                 141   4.67     141    1        1            4.32
## 970                   1   5.00       1    1        2            0.03
## 971                   7   4.43       7    1        2            0.22
## 972                   1   5.00       1    1        2            0.14
## 973                   4   4.75       4    1        1            0.12
## 974                   1   5.00       1    1        2            0.13
## 975                  13   4.69      13    1        2            0.39
## 976                   4   4.75       4    2        4            0.13
## 977                   2   5.00       2    1        2            0.07
## 978                   2   4.00       2    2        4            0.07
## 979                   1   5.00       1    4        6            0.03
## 980                   3   5.00       3    1        2            0.09
## 981                   1   0.00       1    2        2            0.03
## 982                   2   4.50       2    2        4            0.06
## 983                   5   4.60       5    1        2            0.18
## 984                   1   5.00       1    1        1            0.03
## 985                   1   5.00       1    1        1            0.12
## 986                   2   4.50       2    2        4            0.07
## 987                   2   5.00       2    1        1            0.07
## 988                   1   5.00       1    1        1            0.03
## 989                   3   5.00       3    1        2            0.09
## 990                   2   4.00       2    1        1            0.11
## 991                   2   5.00       2    2        5            0.06
## 992                   2   4.50       2    1        1            0.06
## 993                  45   4.44      45    2        5            1.33
## 994                   2   5.00       2    1        1            0.06
## 995                  12   4.18      12    2        4            0.36
## 996                   3   5.00       3    3        5            0.12
## 997                   1   5.00       1    1        1            0.04
## 998                  31   4.81      31    1        2            1.02
## 999                  13   4.00      13    1        4            0.39
## 1000                  6   5.00       6    3        6            0.19
## 1001                  1   5.00       1    3        6            0.03
## 1002                  1   3.00       1    1        1            0.04
## 1003                 68   4.81      68    2        4            2.01
## 1004                 46   4.96      46    2        4            1.37
## 1005                 45   4.87      45    2        4            1.35
## 1006                 50   4.94      50    2        4            1.48
## 1007                 53   4.75      53    2        4            1.57
## 1008                 60   4.77      60    3        6            1.78
## 1009                 49   4.82      49    3        6            1.46
## 1010                 75   4.91      75    3        6            2.23
## 1011                 57   4.81      57    3        4            1.69
## 1012                 53   4.96      53    4        8            1.58
## 1013                 57   4.86      57    4        8            1.70
## 1014                 66   4.83      66    4        8            1.96
## 1015                 57   4.77      57    5        8            1.69
## 1016                 53   4.83      53    5        8            1.58
## 1017                 25   4.56      25    1        2            0.75
## 1018                 13   4.62      13    2        2            0.40
## 1019                  4   5.00       4    1        2            0.14
## 1020                 78   4.73      78    3        2            2.56
## 1021                 10   4.20      10    1        2            0.55
## 1022                 24   4.70      24    1        3            0.73
## 1023                  8   4.88       8    1        1            0.25
## 1024                 11   4.91      11    1        1            0.35
## 1025                 33   4.76      33    3        2            1.00
## 1026                  5   4.00       5    1        1            0.16
## 1027                 65   4.69      65    2        2            2.14
## 1028                  7   4.71       7    1        1            0.26
## 1029                 70   4.66      70    1        1            2.35
## 1030                  1   5.00       1    1        3            0.86
## 1031                 68   4.68      68    2        2            2.19
## 1032                 69   4.84      69    2        2            2.23
## 1033                  1   0.00       1    2        5            0.03
## 1034                  1   5.00       1    1        2            0.04
## 1035                  2   3.50       2    1        1            0.06
## 1036                  4   5.00       4    2        3            0.14
## 1037                  7   5.00       7    1        1            0.24
## 1038                 25   4.68      25    1        2            0.77
## 1039                 35   4.91      35    3        6            1.10
## 1040                  1   0.00       1    1        1            0.03
## 1041                  1   4.00       1    1        1            0.03
## 1042                 15   4.27      15    1        3            0.53
## 1043                  2   5.00       2    2        4            0.09
## 1044                  1   5.00       1    1        2            0.07
## 1045                 28   4.57      28    2        3            0.98
## 1046                  5   4.40       5    1        1            0.16
## 1047                  1   5.00       1    2        2            0.04
## 1048                  3   4.00       3    2        3            0.10
## 1049                 30   4.33      30    1        4            1.01
## 1050                  5   4.80       5    1        2            0.16
## 1051                 17   4.59      17    1        2            0.52
## 1052                 36   4.33      36    1        2            1.14
## 1053                 12   4.42      12    1        1            0.39
## 1054                 12   4.58      12    2        4            0.38
## 1055                  2   5.00       2    1        1            0.07
## 1056                  2   4.00       2    1        1            0.07
## 1057                 13   4.69      13    4        7            0.40
## 1058                 14   4.64      14    1        1            0.44
## 1059                 47   4.52      47    8        8            1.45
## 1060                  8   4.38       8   10        2            0.25
## 1061                 12   4.42      12    8        8            0.38
## 1062                 22   4.36      22    6        6            0.69
## 1063                  1   5.00       1    4        4            0.03
## 1064                  4   5.00       4   14       14            0.13
## 1065                  1   0.00       1    1        1            0.03
## 1066                 33   4.52      33    8        8            1.03
## 1067                  1   3.00       1    1        1            0.03
## 1068                 41   4.39      41    6        6            1.27
## 1069                 21   4.38      21    1        4            0.67
## 1070                  1   4.00       1    1        1            0.03
## 1071                  1   1.00       1    1        2            1.00
## 1072                  2   5.00       2    2        3            0.10
## 1073                 12   4.92      12    1        1            0.38
## 1074                 19   4.84      19    1        2            0.61
## 1075                 45   4.78      45    2        2            1.46
## 1076                 45   4.84      45    1        2            1.47
## 1077                  2   3.00       2    1        2            0.06
## 1078                 32   4.41      32    8        8            1.01
## 1079                 14   4.71      14    6        6            0.45
## 1080                  1   4.00       1    1        1            0.04
## 1081                 12   4.42      12   10        2            0.39
## 1082                 15   5.00      15    1        2            0.49
## 1083                  4   5.00       4    1        1            0.15
## 1084                  8   4.00       8    4        7            0.31
## 1085                 19   4.95      19    1        2            0.62
## 1086                  1   5.00       1    1        1            0.03
## 1087                  1   0.00       1    1        2            0.03
## 1088                 12   4.33      12    1        2            0.38
## 1089                  2   4.50       2    1        2            0.08
## 1090                  7   4.71       7    1        2            0.23
## 1091                  1   5.00       1    1        2            0.04
## 1092                  1   0.00       1    4        3            1.00
## 1093                  1   5.00       1    1        1            0.03
## 1094                 16   4.88      16    1        2            0.54
## 1095                  1   5.00       1    1        1            0.03
## 1096                  3   5.00       3    1        1            0.11
## 1097                  2   5.00       2    1        1            0.07
## 1098                  7   4.29       7    1        1            0.23
## 1099                  3   4.33       3    1        2            0.10
## 1100                 16   4.31      16    1        1            0.51
## 1101                 49   4.84      49    2        2            1.58
## 1102                  2   4.50       2    1        1            0.08
## 1103                  1   5.00       1    2        4            0.08
## 1104                  5   4.80       5    1        2            0.16
## 1105                  1   5.00       1    1        1            0.03
## 1106                  1   5.00       1    1        1            0.19
## 1107                  4   4.25       4    1        1            0.13
## 1108                  7   4.43       7    1        1            0.23
## 1109                  1   5.00       1    1        1            0.04
## 1110                  2   4.00       2    1        1            0.07
## 1111                 11   4.45      11    2        6            0.36
## 1112                  1   0.00       1    1        1            0.03
## 1113                  1   5.00       1    1        1            0.04
## 1114                  3   5.00       3    1        2            0.10
## 1115                  1   4.00       1    1        2            0.03
## 1116                  3   4.67       3    2        5            0.11
## 1117                  2   5.00       2    3        6            0.07
## 1118                  1   0.00       1    1        2            0.03
## 1119                  2   3.00       2    1        1            0.07
## 1120                 32   4.44      32    1        4            1.07
## 1121                 46   4.41      46    2        4            1.53
## 1122                  3   5.00       3    1        2            0.11
## 1123                 67   4.91      67    1        1            2.19
## 1124                  4   4.50       4    8        8            0.14
## 1125                 14   4.57      14    2        3            0.46
## 1126                 39   4.82      39    4        9            1.27
## 1127                 46   4.74      46    5        9            1.50
## 1128                 43   4.84      43    4        9            1.40
## 1129                 53   4.94      53    5        9            1.73
## 1130                 47   4.96      47    5       12            1.54
## 1131                 43   4.91      43    5       12            1.40
## 1132                 36   4.83      36    1        2            1.20
## 1133                 15   4.33      15    6        6            0.50
## 1134                 87   4.91      87    1        2            3.29
## 1135                 33   4.85      33    1        2            1.46
## 1136                  6   4.17       6    1        1            0.20
## 1137                  6   4.17       6    1        2            0.20
## 1138                 16   4.38      16    1        2            0.54
## 1139                  1   4.00       1    3        6            0.04
## 1140                  1   4.00       1    1        2            0.03
## 1141                  9   5.00       9    1        3            0.32
## 1142                 27   4.89      27    1        2            0.89
## 1143                  1   5.00       1    3        5            0.28
## 1144                  1   5.00       1    1        3            0.04
## 1145                  3   4.50       3    1        1            0.10
## 1146                  1   5.00       1    1        2            0.04
## 1147                  1   5.00       1    4        7            0.04
## 1148                  1   5.00       1    1        1            0.06
## 1149                 21   4.90      21    1        1            0.70
## 1150                  7   4.57       7    2        2            0.26
## 1151                 33   4.58      33    2        2            1.16
## 1152                  5   5.00       5    1        1            0.18
## 1153                  3   4.67       3    1        2            2.25
## 1154                  1   5.00       1    4        6            0.03
## 1155                 22   4.77      22    1        2            0.74
## 1156                  1   5.00       1    3        5            0.27
## 1157                  3   5.00       3    1        2            0.11
## 1158                  2   4.00       2    4        4            0.08
## 1159                  1   5.00       1    1        1            0.03
## 1160                  2   5.00       2    1        1            0.08
## 1161                 11   4.27      11    1        3            0.38
## 1162                 10   5.00      10    1        1            0.34
## 1163                 16   4.93      16    1        2            0.54
## 1164                  6   4.00       6    3        6            0.22
## 1165                  3   4.67       3    1        2            0.10
## 1166                 28   4.96      28    1        2            0.95
## 1167                 16   5.00      16    1        2            0.55
## 1168                  1   5.00       1    3        6            0.04
## 1169                  3   5.00       3    1        2            0.12
## 1170                  2   5.00       2    1        2            0.47
## 1171                  3   4.00       3    1        2            0.12
## 1172                  2   5.00       2    1        2            0.11
## 1173                  1   5.00       1    1        2            0.29
## 1174                 13   4.62      13    1        2            0.44
## 1175                  4   4.00       4    1        2            0.14
## 1176                  7   4.57       7    1        2            0.25
## 1177                 13   4.23      13    1        2            0.45
## 1178                  2   5.00       2    1        1            0.07
## 1179                  4   4.50       4    2        2            0.14
## 1180                 21   4.24      21    1        4            0.72
## 1181                  6   4.67       6    1        2            0.27
## 1182                 14   4.21      14    1        4            0.51
## 1183                 14   5.00      14    1        4            0.70
## 1184                 13   4.08      13    1        4            0.47
## 1185                  1   4.00       1    1        2            0.03
## 1186                  2   5.00       2    4        8            0.07
## 1187                  1   5.00       1    4        8            0.03
## 1188                  8   4.88       8    1        1            0.30
## 1189                  1   5.00       1    2        5            0.20
## 1190                  2   5.00       2    3        6            0.07
## 1191                  6   4.67       6    2        2            0.22
## 1192                  4   4.00       4    1        2            0.14
## 1193                  2   4.50       2    1        1            0.07
## 1194                  1   5.00       1    1        2            0.04
## 1195                  1   0.00       1    1        1            0.04
## 1196                  1   4.00       1    6        6            0.03
## 1197                  1   0.00       1    4        4            0.03
## 1198                  1   5.00       1    1        2            0.04
## 1199                  2   4.50       2    1        4            0.09
## 1200                  1   5.00       1    3        6            0.03
## 1201                  2   3.50       2    4        2            0.07
## 1202                 23   4.78      23    1        2            0.87
## 1203                  1   5.00       1    1        1            0.04
## 1204                  2   4.00       2    1        2            0.07
## 1205                  3   3.67       3    1        2            0.12
## 1206                  3   5.00       3    1        2            0.13
## 1207                  1   4.00       1    1        2            0.17
## 1208                  2   5.00       2    2        4            0.09
## 1209                  1   4.00       1    1        2            0.04
## 1210                 75   4.63      75    1        2            2.79
## 1211                177   4.49     177    3        4            6.23
## 1212                 25   4.92      25    1        2            0.92
## 1213                  1   5.00       1    1        2            0.04
## 1214                  1   5.00       1    1        1            0.04
## 1215                  1   5.00       1   NA        2            0.05
## 1216                  1   1.00       1    2        2            0.10
## 1217                  1   4.00       1    2        2            0.04
## 1218                  3   5.00       3    1        1            0.11
## 1219                  2   4.50       2    1        1            0.17
## 1220                  6   3.83       6    1        2            0.21
## 1221                 18   4.83      18    1        2            0.66
## 1222                  1   5.00       1    1        1            0.04
## 1223                 11   4.91      11   NA        2            0.44
## 1224                  1   5.00       1    1        1            0.04
## 1225                  2   5.00       2    1        1            0.07
## 1226                  1   5.00       1    1        2            1.00
## 1227                 11   4.64      11    1        2            0.40
## 1228                  3   3.00       3    1        2            0.13
## 1229                 56   4.89      56    1        2            2.12
## 1230                  1   4.00       1    1        2            0.04
## 1231                  1   5.00       1    1        2            0.06
## 1232                  1   5.00       1    1        1            0.67
## 1233                  1   5.00       1    1        2            0.04
## 1234                 14   4.29      14    1        2            0.50
## 1235                 13   4.54      13    2        4            0.47
## 1236                  1   5.00       1    1        1            0.08
## 1237                  7   5.00       7    1        2            0.26
## 1238                 26   4.81      26    1        1            0.93
## 1239                 23   4.13      23    1        2            0.82
## 1240                  2   5.00       2    1        2            0.09
## 1241                  1   5.00       1    6        6            0.04
## 1242                  1   3.00       1    1        1            0.04
## 1243                 23   4.48      23    2        3            0.86
## 1244                  1   5.00       1    1        2            0.04
## 1245                  1   5.00       1    1        1            0.17
## 1246                  2   4.00       2    1        2            0.08
## 1247                  2   5.00       2    1        2            0.27
## 1248                  2   5.00       2    2        4            0.10
## 1249                  4   4.50       4    1        2            0.15
## 1250                  1   5.00       1    1        2            0.05
## 1251                  1   5.00       1    1        2            0.04
## 1252                  6   5.00       6    2        4            0.22
## 1253                  4   4.25       4    3        4            0.15
## 1254                  1   3.00       1    1        1            0.04
## 1255                  1   3.00       1    2        2            0.04
## 1256                  9   4.33       9    2        2            0.38
## 1257                  3   5.00       3    1        1            0.22
## 1258                  1   5.00       1    1        2            0.05
## 1259                  3   5.00       3    2        8            0.12
## 1260                  5   4.80       5    1        1            0.19
## 1261                  3   4.67       3    1        2            0.12
## 1262                  1   5.00       1    1        1            0.04
## 1263                  5   4.00       5    1        2            0.21
## 1264                  4   4.75       4    2        4            0.15
## 1265                  2   5.00       2    2        3            0.16
## 1266                  2   4.50       2    1        2            0.07
## 1267                  5   5.00       5    1        1            0.19
## 1268                 22   4.73      22    2        6            1.08
## 1269                  3   5.00       3   NA        1            0.12
## 1270                  1   5.00       1    1        1            0.04
## 1271                  3   4.33       3    1        4            0.13
## 1272                  6   5.00       6    2        2            0.23
## 1273                  2   5.00       2    2        1            0.08
## 1274                  4   4.25       4    1        2            0.18
## 1275                  2   5.00       2   NA        1            0.08
## 1276                  2   5.00       2    1        1            0.08
## 1277                  2   5.00       2    1        3            0.11
## 1278                  7   5.00       7    2        2            0.31
## 1279                 10   4.78      10    1        2            0.39
## 1280                 30   4.70      30    3        5            1.13
## 1281                 13   4.23      13    1        3            0.50
## 1282                  6   4.83       6    1        2            0.23
## 1283                  2   5.00       2    1        1            0.08
## 1284                  1   5.00       1    3        5            0.04
## 1285                  1   5.00       1    1        2            0.05
## 1286                  5   4.40       5    2        3            0.19
## 1287                  1   5.00       1    1        1            0.05
## 1288                  2   4.00       2    1        1            0.08
## 1289                  3   4.67       3    1        3            0.15
## 1290                  3   4.33       3    3        3            0.12
## 1291                  3   4.33       3    1        2            0.13
## 1292                 18   4.78      18    1        4            0.86
## 1293                  1   5.00       1    1        1            0.08
## 1294                  4   4.50       4    1        1            0.16
## 1295                  3   5.00       3    1        2            0.17
## 1296                  2   5.00       2    1        2            1.22
## 1297                 56   4.89      56    1        2            2.18
## 1298                  1   5.00       1    2        4            0.04
## 1299                  3   5.00       3    2        4            0.12
## 1300                  1   5.00       1    1        1            0.04
## 1301                  3   5.00       3    1        2            0.12
## 1302                  2   5.00       2    1        2            0.08
## 1303                 11   4.82      11    1        4            0.56
## 1304                  2   5.00       2    2        4            0.08
## 1305                  1   4.00       1    1        2            0.04
## 1306                  1   5.00       1    1        2            0.04
## 1307                  1   4.00       1    1        2            0.04
## 1308                  1   5.00       1    1        1            0.10
## 1309                  1   0.00       1    4        4            0.04
## 1310                  4   5.00       4    5        6            0.16
## 1311                  2   5.00       2    1        2            0.09
## 1312                  4   3.50       4    1        2            0.17
## 1313                  1   5.00       1    1        2            0.04
## 1314                 15   5.00      15    1        2            0.60
## 1315                  2   4.00       2    1        2            0.08
## 1316                  1   5.00       1    1        1            0.05
## 1317                  4   4.75       4    2        4            0.16
## 1318                  2   0.00       2    1        1            0.08
## 1319                  2   5.00       2    1        1            0.08
## 1320                  1   5.00       1    1        1            0.04
## 1321                 24   4.63      24    1        2            0.94
## 1322                 20   4.95      20    1        1            0.78
## 1323                  1   3.00       1    1        2            0.04
## 1324                 12   5.00      12    2        2            0.49
## 1325                  8   4.63       8    2        5            0.34
## 1326                  1   0.00       1    1        1            0.04
## 1327                  2   3.50       2    3        7            0.09
## 1328                 23   4.87      23    2        5            1.38
## 1329                  5   4.60       5    6        8            0.21
## 1330                  3   5.00       3    8        8            0.12
## 1331                  2   5.00       2   NA        1            0.08
## 1332                  3   3.33       3    2        6            0.13
## 1333                  1   5.00       1    6        6            0.04
## 1334                  1   1.00       1    4        9            0.04
## 1335                  1   5.00       1    3        6            0.04
## 1336                  2   5.00       2    1        2            0.08
## 1337                  6   4.33       6    3        8            0.24
## 1338                  4   4.50       4    9       16            0.17
## 1339                  2   5.00       2    4        9            0.08
## 1340                 15   4.47      15    6        6            0.60
## 1341                  1   5.00       1    8        8            0.04
## 1342                  1   0.00       1    2        2            0.04
## 1343                  1   4.00       1    2        6            0.04
## 1344                  6   4.50       6    1        2            0.24
## 1345                  4   3.75       4    1        2            0.31
## 1346                  3   5.00       3    1        1            0.12
## 1347                  1   5.00       1    2        3            0.04
## 1348                  3   4.67       3    1        2            0.22
## 1349                  1   5.00       1    1        3            0.04
## 1350                  1   5.00       1    1        2            0.04
## 1351                  1   5.00       1    2        3            0.13
## 1352                 11   4.27      11    1        2            0.45
## 1353                  1   5.00       1    1        2            0.08
## 1354                  3   4.67       3    1        2            0.12
## 1355                  1   0.00       1    2        3            0.04
## 1356                  2   4.50       2    1        2            0.08
## 1357                  2   5.00       2    1        2            0.09
## 1358                  2   4.00       2    1        3            0.08
## 1359                  4   4.75       4    1        2            0.17
## 1360                  1   0.00       1    1        2            0.04
## 1361                  1   1.00       1    4        9            0.04
## 1362                  7   5.00       7    3        4            0.31
## 1363                  5   4.20       5    1        2            0.21
## 1364                  3   5.00       3    1        2            0.23
## 1365                  1   5.00       1    1        2            0.04
## 1366                  1   3.00       1    3        6            0.35
## 1367                 15   4.67      15    1        2            0.70
## 1368                  2   4.00       2    1        2            0.08
## 1369                  6   4.33       6    1        2            0.44
## 1370                  2   4.00       2    1        2            0.15
## 1371                  6   4.50       6    1        2            0.44
## 1372                  3   4.33       3    1        1            0.13
## 1373                  1   5.00       1    1        1            0.59
## 1374                 16   4.63      16    1        2            0.66
## 1375                  1   0.00       1    2        4            0.04
## 1376                  2   5.00       2    1        2            2.00
## 1377                 25   4.68      25    1        2            1.05
## 1378                  1   5.00       1    1        2            0.04
## 1379                 20   4.85      20    1        2            0.88
## 1380                  2   4.50       2    4        4            0.08
## 1381                 30   4.87      30    1        2            1.24
## 1382                  2   5.00       2    1        3            0.08
## 1383                  2   3.00       2    2        2            0.08
## 1384                  1   5.00       1    5        9            0.05
## 1385                 12   4.92      12    3        6            0.53
## 1386                  1   0.00       1    6        4            0.04
## 1387                  1   5.00       1    1        6            0.04
## 1388                  1   5.00       1    2        4            0.04
## 1389                  2   3.00       2    1        1            0.09
## 1390                 18   4.72      18    1        2            1.34
## 1391                 18   3.94      18    1        2            0.76
## 1392                 16   4.80      16    1        2            0.66
## 1393                  2   4.50       2   NA        2            0.08
## 1394                 10   5.00      10    1        2            0.41
## 1395                 12   4.92      12    1        2            0.51
## 1396                  1   5.00       1    1        2            0.04
## 1397                  3   5.00       3    8        8            0.12
## 1398                  5   5.00       5    1        2            0.36
## 1399                  1   5.00       1    1        1            0.09
## 1400                  2   5.00       2    1        2            0.09
## 1401                  1   3.00       1    1        2            1.00
## 1402                  1   5.00       1    1        2            0.04
## 1403                  1   5.00       1    4        7            0.04
## 1404                  3   5.00       3    2        2            0.13
## 1405                 21   4.86      21    1        2            0.88
## 1406                  1   5.00       1    2        4            0.04
## 1407                  1   5.00       1   NA        2            0.12
## 1408                  1   5.00       1    6        6            0.04
## 1409                  4   4.00       4    1        3            0.17
## 1410                  1   0.00       1    1        1            0.04
## 1411                  6   3.67       6    6        6            0.26
## 1412                  1   5.00       1    1        1            0.04
## 1413                  1   5.00       1    1        1            0.04
## 1414                  2   4.00       2    4        4            0.09
## 1415                  1   0.00       1    1        1            0.04
## 1416                  6   4.33       6    2        4            0.29
## 1417                 62   4.60      62    3        4            2.66
## 1418                  3   5.00       3    1        1            0.13
## 1419                  1   4.00       1    4        2            0.04
## 1420                  1   5.00       1    4        9            0.05
## 1421                  2   3.00       2   10       10            0.09
## 1422                  1   5.00       1    1        9            0.05
## 1423                  1   5.00       1    2        6            0.05
## 1424                  4   5.00       4    1        3            0.17
## 1425                  2   4.00       2    1        1            0.09
## 1426                  2   4.50       2    2        2            0.63
## 1427                  2   5.00       2    1        2            0.08
## 1428                  2   5.00       2    1        2            0.35
## 1429                 43   4.91      43    2        4            1.88
## 1430                 39   4.97      39    2        4            1.85
## 1431                  8   5.00       8    1        1            0.38
## 1432                  3   3.33       3    1        2            0.13
## 1433                  1   5.00       1    1        1            0.04
## 1434                  1   5.00       1    1        1            0.05
## 1435                  1   5.00       1    3        4            0.04
## 1436                  7   4.57       7    1        2            0.30
## 1437                  1   5.00       1    2        4            0.13
## 1438                  1   1.00       1    1        1            0.75
## 1439                  4   4.00       4    6        6            0.17
## 1440                  1   5.00       1    2        2            0.10
## 1441                  1   5.00       1    1        2            0.05
## 1442                  1   4.00       1   NA        2            0.09
## 1443                  5   4.40       5    2        4            0.22
## 1444                  2   5.00       2   NA        2            0.10
## 1445                  2   2.50       2    1        1            2.00
## 1446                  1   4.00       1    2        4            0.06
## 1447                  1   1.00       1    6        8            0.11
## 1448                203   4.74     203    1        2            9.12
## 1449                120   4.68     120    1        2            5.25
## 1450                 14   4.71      14    2        4            0.62
## 1451                  1   5.00       1    1        2            0.04
## 1452                  1   4.00       1    3        2            0.05
## 1453                  1   5.00       1    1        1            0.04
## 1454                  1   5.00       1    1        1            0.24
## 1455                  1   5.00       1    1        1            0.05
## 1456                  1   5.00       1   NA        2            0.53
## 1457                  6   4.50       6    3        5            0.56
## 1458                167   4.81     167    1        2            7.59
## 1459                  4   4.50       4    1        2            0.18
## 1460                  5   5.00       5    1        1            0.24
## 1461                  5   4.80       5    1        2            0.24
## 1462                  6   5.00       6    1        1            0.52
## 1463                 26   4.96      26    1        2            1.20
## 1464                  5   5.00       5    1        2            0.25
## 1465                  3   2.67       3    3        5            0.23
## 1466                  1   5.00       1    1        2            0.16
## 1467                  1   4.00       1    1        1            0.06
## 1468                  1   5.00       1    1        1            0.06
## 1469                  1   0.00       1   NA        2            0.05
## 1470                 11   4.91      11    1        2            0.83
## 1471                  1   1.00       1    1        1            0.11
## 1472                  2   5.00       2    2        2            0.11
## 1473                  1   5.00       1    1        1            0.05
## 1474                 33   4.48      33    1        2            1.64
## 1475                 81   4.68      81    1        2            3.98
## 1476                 12   4.67      12    1        2            0.57
## 1477                  1   3.00       1    2        4            0.09
## 1478                 14   4.36      14    3        4            0.66
## 1479                  2   5.00       2    1        2            0.11
## 1480                  1   1.00       1    1        2            0.07
## 1481                  1   3.00       1    1        2            0.05
## 1482                  1   5.00       1    2        2            0.08
## 1483                  1   5.00       1    1        1            0.05
## 1484                  1   5.00       1    1        2            0.27
## 1485                  1   5.00       1    1        2            0.11
## 1486                  2   5.00       2    3        4            0.13
## 1487                  1   5.00       1    1        2            0.08
## 1488                 13   4.85      13    1        2            0.64
## 1489                  1   5.00       1    1        2            0.06
## 1490                  1   5.00       1    4        4            1.00
## 1491                128   4.73     128    1        2            6.41
## 1492                265   4.81     265    1        2           13.27
## 1493                  2   5.00       2    1        3            0.11
## 1494                  3   5.00       3    1        3            0.16
## 1495                  1   5.00       1    1        3            0.05
## 1496                  1   3.00       1   32        1            0.05
## 1497                  2   5.00       2    1        3            0.11
## 1498                  1   5.00       1    1        3            0.05
## 1499                  1   4.00       1    1        3            0.06
## 1500                  1   5.00       1    1        3            1.00
## 1501                  2   4.50       2    1        3            0.10
## 1502                 93   4.92      93    1        2            4.70
## 1503                 25   4.76      25    1        2            1.27
## 1504                 18   4.94      18    1        2            0.91
## 1505                  6   3.83       6    1        3            0.34
## 1506                 92   4.82      92    1        2            4.65
## 1507                 17   4.41      17    1        2            0.90
## 1508                  7   5.00       7    3        8            0.89
## 1509                  5   5.00       5    1        2            0.27
## 1510                  2   5.00       2    1        3            0.11
## 1511                  7   4.14       7    3        8            0.91
## 1512                 14   4.50      14    2        5            0.77
## 1513                 12   4.58      12    1        2            0.63
## 1514                  2   5.00       2    1        4            0.11
## 1515                 22   4.95      22    4        6            1.22
## 1516                 15   4.80      15    1        3            0.80
## 1517                  9   4.33       9    2        6            0.48
## 1518                 10   4.50      10    2        5            0.60
## 1519                  1   5.00       1    1        2            0.07
## 1520                 14   4.64      14    1        4            0.75
## 1521                  1   5.00       1    1        2            0.05
## 1522                 25   4.60      25    2        4            1.36
## 1523                 16   4.81      16    2        5            1.34
## 1524                  9   5.00       9    3        8            0.82
## 1525                  2   5.00       2    2        3            0.17
## 1526                  5   3.80       5    2        3            0.28
## 1527                  2   5.00       2    1        3            0.11
## 1528                  5   5.00       5    2        4            0.39
## 1529                  1   2.00       1    1        3            0.08
## 1530                  6   4.67       6    3        4            0.48
## 1531                  5   4.60       5    1        2            0.29
## 1532                  8   4.50       8    1        2            0.45
## 1533                  1   5.00       1    3        4            0.06
## 1534                  5   4.20       5    2        3            0.29
## 1535                 16   4.81      16    1        2            0.92
## 1536                  7   5.00       7    1        2            0.39
## 1537                  1   5.00       1    1        2            1.00
## 1538                  7   4.71       7    1        2            0.41
## 1539                  2   3.00       2    1        3            0.17
## 1540                  1   5.00       1    1        2            0.06
## 1541                  1   5.00       1    3        4            0.14
## 1542                  3   4.33       3    2        2            0.22
## 1543                  2   5.00       2    1        2            0.23
## 1544                  5   4.80       5   NA        1            0.41
## 1545                  1   4.00       1    1        2            0.08
## 1546                  1   5.00       1    1        1            0.07
## 1547                  1   3.00       1    2        4            0.13
## 1548                  1   3.00       1    1        2            0.09
## 1549                  2   4.00       2    2        2            0.17
## 1550                  2   4.50       2    1        2            0.16
## 1551                  1   5.00       1    1        1            0.07
## 1552                  1   1.00       1    5        5            0.12
## 1553                  2   5.00       2    1        2            1.40
## 1554                  2   5.00       2    3        5            0.28
## 1555                 17   4.59      17    1        2            1.20
## 1556                  9   4.44       9    1        2            0.63
## 1557                  1   5.00       1    1        2            0.07
## 1558                  1   5.00       1    3        5            0.33
## 1559                  1   5.00       1    4        6            0.28
## 1560                  8   4.63       8    2        4            0.57
## 1561                 13   4.77      13    1        2            0.96
## 1562                  4   4.50       4    1        2            0.48
## 1563                  4   5.00       4    1        2            0.30
## 1564                  1   3.00       1    1        2            0.26
## 1565                  9   5.00       9    1        1            0.74
## 1566                  2   5.00       2    3        6            0.15
## 1567                  2   5.00       2    1        2            0.16
## 1568                  2   5.00       2    2        3            1.62
## 1569                  1   3.00       1    2        3            1.00
## 1570                  9   4.33       9    2        3            0.71
## 1571                  3   5.00       3    2        4            0.28
## 1572                  1   4.00       1    2        4            0.08
## 1573                  6   4.00       6    2        4            0.49
## 1574                  3   2.67       3    1        3            0.25
## 1575                  4   4.25       4    1        2            0.31
## 1576                  3   5.00       3    1        2            0.26
## 1577                  1   5.00       1    1        1            0.09
## 1578                  1   5.00       1   NA        4            0.08
## 1579                  3   4.33       3    1        4            0.28
## 1580                  8   4.63       8    1        2            0.65
## 1581                  1   4.00       1    3        6            0.10
## 1582                  1   5.00       1    4        6            0.10
## 1583                  1   3.00       1    1        1            1.00
## 1584                  4   4.75       4    2        4            0.38
## 1585                  1   5.00       1    2        4            0.09
## 1586                  1   5.00       1    2        4            0.12
## 1587                  1   5.00       1    3        6            0.08
## 1588                  1   5.00       1    1        2            0.12
## 1589                 10   4.60      10    2        5            1.04
## 1590                 20   4.80      20    1        2            1.86
## 1591                  1   5.00       1    2        2            0.17
## 1592                  4   5.00       4    1        2            0.37
## 1593                  5   5.00       5    1        2            0.47
## 1594                 10   4.40      10    1        2            0.88
## 1595                  1   5.00       1    1        2            0.09
## 1596                  1   3.00       1    2        4            0.12
## 1597                  1   5.00       1    1        2            0.24
## 1598                  1   5.00       1    1        4            0.24
## 1599                  1   5.00       1    1        3            0.53
## 1600                  9   4.89       9    2        5            1.00
## 1601                  2   4.50       2   NA        0            0.25
## 1602                 72   4.65      72    1        2            7.40
## 1603                 11   4.73      11    1        2            1.03
## 1604                  2   5.00       2   NA        2            0.28
## 1605                  3   5.00       3   NA        2            1.02
## 1606                 19   4.58      19    1        2            2.15
## 1607                  5   5.00       5   NA        2            0.55
## 1608                  1   5.00       1    1        2            0.16
## 1609                 23   4.74      23    1        2            2.14
## 1610                  2   5.00       2    2        2            0.22
## 1611                  1   5.00       1   NA        2            0.83
## 1612                  1   1.00       1   NA        2            0.13
## 1613                  1   5.00       1   NA        2            0.64
## 1614                  3   5.00       3   NA        2            1.17
## 1615                 52   4.87      52    1        1            4.92
## 1616                  1   3.00       1    1        1            0.13
## 1617                  4   5.00       4    1        2            0.49
## 1618                  7   4.57       7    1        2            0.72
## 1619                  6   4.50       6    1        2            1.34
## 1620                  6   4.17       6    2        2            1.62
## 1621                  7   4.71       7    1        2            1.41
## 1622                  1   5.00       1   NA        2            0.11
## 1623                  1   5.00       1    1        4            0.18
## 1624                  2   5.00       2    1        2            2.00
## 1625                 14   4.86      14    2        5            1.41
## 1626                  2   5.00       2    2        1            0.37
## 1627                  1   5.00       1    1        2            0.21
## 1628                  1   5.00       1    1        2            0.16
## 1629                  5   4.80       5    1        1            0.56
## 1630                  2   5.00       2    2        2            0.26
## 1631                  3   5.00       3    1        2            0.36
## 1632                  7   4.86       7    2        5            0.72
## 1633                  4   5.00       4    1        5            0.41
## 1634                  1   4.00       1    2        3            0.53
## 1635                  2   5.00       2    1        1            0.23
## 1636                  2   5.00       2    2        4            0.21
## 1637                  2   5.00       2    1        1            0.24
## 1638                  5   4.00       5    2        6            0.56
## 1639                  2   4.50       2    1        2            2.00
## 1640                  2   4.50       2    6        6            0.23
## 1641                  1   5.00       1    1        2            0.29
## 1642                  6   5.00       6    1        1            0.98
## 1643                  2   5.00       2    1        1            0.25
## 1644                  2   5.00       2    2        5            0.23
## 1645                 11   4.91      11    1        2            1.61
## 1646                 34   4.65      34    1        2            4.16
## 1647                  6   4.50       6    1        3            0.92
## 1648                  1   5.00       1    1        1            0.12
## 1649                  1   4.00       1    1        2            0.29
## 1650                  1   5.00       1    1        3            0.15
## 1651                  1   5.00       1    1        2            1.00
## 1652                  2   4.50       2    2        3            1.58
## 1653                  4   3.50       4    2        4            0.55
## 1654                  2   5.00       2    2        4            0.73
## 1655                  2   4.50       2    4        7            1.09
## 1656                  3   5.00       3    1        2            0.43
## 1657                  1   3.00       1    1        2            0.17
## 1658                  2   5.00       2    1        2            0.87
## 1659                  3   4.67       3    1        1            0.49
## 1660                  2   5.00       2    1        1            1.15
## 1661                  1   5.00       1    1        2            0.32
## 1662                  2   2.50       2    1        4            0.36
## 1663                  7   5.00       7    2        5            2.50
## 1664                  2   4.50       2    1        2            1.58
## 1665                  1   5.00       1    1        1            0.17
## 1666                  1   5.00       1   NA        2            0.22
## 1667                  1   3.00       1    1        2            0.60
## 1668                  1   5.00       1    1        2            1.00
## 1669                  2   5.00       2    1        2            0.74
## 1670                  4   5.00       4    1        2            0.99
## 1671                  1   3.00       1    1        2            0.73
## 1672                  1   5.00       1    1        2            1.00
## 1673                  2   4.50       2    1        2            0.49
## 1674                  1   1.00       1    1        1            0.19
## 1675                  1   5.00       1    1        2            1.00
## 1676                  1   5.00       1    2        4            0.38
## 1677                  1   4.00       1   NA        1            0.91
## 1678                 23   4.43      23    1        2            4.63
## 1679                 10   5.00      10    1        2            2.26
## 1680                  3   5.00       3    1        2            2.73
## 1681                  1   5.00       1    1        1            0.24
## 1682                  3   5.00       3    2        3            0.63
## 1683                  7   4.86       7    3        8            2.14
## 1684                  1   1.00       1    2        4            0.26
## 1685                  2   4.50       2    1        2            1.05
## 1686                  4   5.00       4    1        2            1.56
## 1687                  1   5.00       1    2        6            0.35
## 1688                  3   5.00       3    1        2            1.08
## 1689                  1   5.00       1    1        2            1.00
## 1690                  2   5.00       2    1        2            0.57
## 1691                  1   1.00       1    3        5            0.35
## 1692                  1   5.00       1    1        2            1.00
## 1693                  3   5.00       3    1        2            0.79
## 1694                  2   4.50       2    1        4            1.28
## 1695                  3   4.00       3    1        3            0.87
## 1696                  2   4.50       2    1        2            0.58
## 1697                  1   5.00       1    2        4            0.58
## 1698                  1   5.00       1    1        2            1.00
## 1699                  1   3.00       1    1        2            0.53
## 1700                  2   5.00       2    2        5            1.87
## 1701                  1   5.00       1    1        2            0.57
## 1702                  1   5.00       1    1        2            0.42
## 1703                  1   5.00       1    1        2            0.33
## 1704                  1   4.00       1    2        3            1.00
## 1705                  1   5.00       1    1        2            1.00
## 1706                  1   5.00       1    2        5            0.94
## 1707                  1   5.00       1    1        2            1.00
## 1708                  3   4.67       3    2        4            1.15
## 1709                  1   5.00       1    1        2            0.64
## 1710                  4   5.00       4    1        1            3.43
## 1711                  1   4.00       1    2        3            1.00
## 1712                  1   5.00       1    1        3            1.00
## 1713                  1   5.00       1    1        2            1.00
## 1714                  2   4.50       2    1        3            2.00
## 1715                  5   5.00       5    1        2            3.00
## 1716                  1   5.00       1    1        2            1.00
## 1717                  1   5.00       1   NA        2            1.00
## 1718                  1   5.00       1    2        2            1.00
## 1719                  1   2.00       1    2        3            0.73
## 1720                  1   5.00       1    1        2            0.94
## 1721                  1   5.00       1    1        3            1.00
## 1722                  1   4.00       1    4        6            1.00
## 1723                  1   5.00       1    1        1            1.00
## 1724                  1   5.00       1    1        3            1.00
## 1725                  1   4.00       1    1        4            1.00
##      host_acceptance_rate host_Superhost no_of_am Amenities_Wifi
## 1                      NA              0       30              1
## 2                      NA              0       26              1
## 3                      NA              0       22              1
## 4                    0.77              0       14              1
## 5                    0.77              0       15              1
## 6                    0.00              0       24              1
## 7                    0.77              0       13              1
## 8                    0.77              0       14              1
## 9                      NA              0       31              1
## 10                   0.00              0       24              1
## 11                   0.00              0       22              1
## 12                     NA              0       23              1
## 13                   0.70              0       27              1
## 14                     NA              1       19              1
## 15                   0.97              0       26              1
## 16                   0.77              0        9              1
## 17                     NA              1       22              1
## 18                     NA              1       22              1
## 19                     NA              0        2              0
## 20                     NA              1       33              1
## 21                   0.67              1       45              1
## 22                   1.00              1       37              1
## 23                   1.00              1       39              1
## 24                   1.00              1       37              1
## 25                   0.94              1       47              1
## 26                   0.97              0       27              1
## 27                   0.97              0       30              1
## 28                     NA              0       27              1
## 29                     NA              0       26              1
## 30                   1.00              1       37              1
## 31                   0.70              0       42              1
## 32                     NA              0       30              1
## 33                   1.00              1       38              1
## 34                   1.00              0       12              1
## 35                     NA              0       18              1
## 36                   0.70              1       18              1
## 37                   0.77              0       26              1
## 38                   0.00              0       19              1
## 39                   0.00              0       27              1
## 40                     NA              0       18              1
## 41                     NA              0       28              1
## 42                   0.97              0       28              1
## 43                   1.00              0       17              1
## 44                   0.70              1       17              1
## 45                   0.70              1       17              1
## 46                   0.70              1       16              1
## 47                   0.00              0       15              1
## 48                   1.00              1       37              1
## 49                   1.00              0       17              1
## 50                   1.00              0       17              1
## 51                   0.00              0        9              1
## 52                   0.08              0       33              1
## 53                   1.00              1       37              1
## 54                   0.70              1       19              1
## 55                     NA              0       23              1
## 56                     NA              0       23              1
## 57                   1.00              1        8              1
## 58                   0.49              1       25              1
## 59                     NA              1       31              1
## 60                   1.00              1       37              1
## 61                   0.84              1       23              1
## 62                   1.00              1       13              1
## 63                   0.84              1       23              1
## 64                   0.70              1       14              1
## 65                   0.84              0       15              1
## 66                     NA              0       23              1
## 67                   0.00              1       43              1
## 68                   0.84              0       19              1
## 69                   0.84              0       19              1
## 70                     NA              0       24              1
## 71                     NA              0       24              1
## 72                   0.59              1       23              1
## 73                   1.00              1       37              1
## 74                     NA              0       35              1
## 75                   0.84              0       17              1
## 76                   0.23              0       14              0
## 77                     NA              0       24              1
## 78                   0.84              0       23              1
## 79                   0.84              1       25              1
## 80                   1.00              1       33              1
## 81                     NA              0       24              1
## 82                   0.83              0        8              1
## 83                   0.84              0       18              1
## 84                   0.63              1       23              1
## 85                     NA              0       24              1
## 86                   0.63              1       21              1
## 87                   0.04              1       26              1
## 88                   0.85              1       19              1
## 89                   0.85              1       19              1
## 90                   0.85              1       19              1
## 91                   0.63              1       30              1
## 92                   0.63              1       29              1
## 93                   0.36              0       12              1
## 94                   0.00              1       23              1
## 95                   0.00              1       23              1
## 96                   0.36              1       18              1
## 97                   0.80              0       19              1
## 98                   0.80              0       15              1
## 99                   0.84              0       15              1
## 100                  0.45              1       17              1
## 101                  0.45              1       16              1
## 102                  0.45              1       11              1
## 103                  0.59              1       24              1
## 104                  0.36              0       39              1
## 105                  0.59              1       27              1
## 106                  0.45              1       19              1
## 107                  0.84              0       19              1
## 108                  0.84              0       18              1
## 109                  0.70              1       16              1
## 110                  0.84              0       19              1
## 111                  0.70              1       16              1
## 112                  0.84              0       17              1
## 113                  0.84              0       16              1
## 114                  0.00              1       40              1
## 115                  0.00              0       11              1
## 116                  0.36              1       15              1
## 117                  0.84              0       20              1
## 118                  0.00              0       33              1
## 119                  0.70              1       19              1
## 120                  0.36              0       13              1
## 121                  0.93              0       20              1
## 122                  0.70              1       16              1
## 123                  0.84              0       18              1
## 124                  0.84              0       18              1
## 125                  0.84              0       15              1
## 126                  0.97              0       31              1
## 127                  0.67              1       15              1
## 128                  1.00              0        8              1
## 129                  0.84              0       19              1
## 130                  0.50              1       27              1
## 131                  0.67              0       18              1
## 132                  1.00              1       39              1
## 133                    NA              0       29              1
## 134                  0.84              0       15              1
## 135                  0.67              0       19              1
## 136                  0.67              0       17              1
## 137                  0.00              0       17              1
## 138                    NA              0       27              1
## 139                  0.84              0       18              1
## 140                  0.97              0       30              1
## 141                  0.84              0       17              1
## 142                  0.84              0       16              1
## 143                  0.70              1       18              1
## 144                  0.70              1       18              1
## 145                  0.70              1       20              1
## 146                  0.84              0       14              1
## 147                  0.50              1       14              1
## 148                  0.25              1       22              1
## 149                  0.64              1       23              1
## 150                  0.84              0       20              1
## 151                  1.00              1       12              1
## 152                  0.84              0       19              1
## 153                  0.84              0       18              1
## 154                  0.84              0       19              1
## 155                  0.84              0       16              1
## 156                  1.00              0       13              1
## 157                  0.97              0       32              1
## 158                  1.00              1       34              1
## 159                    NA              0       16              1
## 160                    NA              0       31              1
## 161                    NA              0       24              1
## 162                    NA              0       24              1
## 163                    NA              0       24              1
## 164                  0.84              0       20              1
## 165                    NA              0       16              1
## 166                  0.25              1       21              1
## 167                  0.00              0       12              1
## 168                  0.84              1       25              1
## 169                    NA              0       19              1
## 170                  0.84              1       10              1
## 171                  0.84              1       23              1
## 172                  0.84              1       21              1
## 173                  0.84              1       23              1
## 174                  0.84              1       23              1
## 175                  0.84              1       23              1
## 176                  0.84              1       25              1
## 177                  0.84              1       11              1
## 178                  0.45              1       18              1
## 179                    NA              0        9              1
## 180                    NA              0       10              1
## 181                    NA              0        1              0
## 182                    NA              0        8              1
## 183                    NA              0       27              1
## 184                    NA              0       15              1
## 185                  1.00              1       58              1
## 186                  0.97              0       33              1
## 187                    NA              0       23              1
## 188                    NA              0       23              1
## 189                    NA              0       24              1
## 190                    NA              0       11              1
## 191                    NA              0       15              1
## 192                    NA              0        9              1
## 193                    NA              0        1              0
## 194                  1.00              1       36              1
## 195                    NA              0       23              1
## 196                    NA              0       25              1
## 197                    NA              0       22              1
## 198                    NA              0       24              1
## 199                    NA              0       22              1
## 200                  0.25              0       32              1
## 201                  0.25              0       33              1
## 202                  0.50              0       11              1
## 203                    NA              0       24              1
## 204                  0.84              0       15              1
## 205                  0.00              0       15              1
## 206                  0.00              0       16              1
## 207                  0.00              0       16              1
## 208                  0.84              0       13              1
## 209                  0.50              0       10              1
## 210                  0.50              0       11              1
## 211                  0.50              0       10              1
## 212                  0.50              0        9              1
## 213                  0.50              0       10              1
## 214                  0.50              0       11              1
## 215                    NA              0       22              1
## 216                  0.75              0       23              1
## 217                  1.00              1       20              1
## 218                  0.75              0       20              1
## 219                  1.00              0       19              1
## 220                  0.50              0       10              1
## 221                  0.97              0       33              1
## 222                  0.80              1       30              1
## 223                  1.00              0       18              1
## 224                  0.00              0       17              1
## 225                    NA              0       11              1
## 226                  0.36              1       17              1
## 227                  0.36              1       17              1
## 228                  0.36              1       18              1
## 229                  1.00              0       21              1
## 230                  0.22              0       14              1
## 231                  0.36              1       17              1
## 232                  0.36              1       17              1
## 233                  0.36              1       17              1
## 234                  0.36              1       18              1
## 235                    NA              0       24              1
## 236                  0.74              0       31              1
## 237                    NA              1       26              1
## 238                    NA              0       21              1
## 239                  1.00              0       12              1
## 240                  0.38              0       19              1
## 241                  0.38              0       19              1
## 242                  0.38              0       18              1
## 243                  0.38              0       19              1
## 244                  0.38              0       19              1
## 245                  0.38              0       19              1
## 246                  0.38              0       19              1
## 247                  0.38              0       19              1
## 248                    NA              0       15              1
## 249                  0.85              0       57              0
## 250                  0.91              1       26              1
## 251                  0.02              0       37              1
## 252                  0.00              0       25              1
## 253                  1.00              1       11              1
## 254                  1.00              0       30              1
## 255                  0.65              1       29              1
## 256                    NA              1       23              1
## 257                  0.50              1       23              1
## 258                    NA              0       13              1
## 259                  0.33              0       22              1
## 260                  0.65              1       28              1
## 261                    NA              0       22              1
## 262                  1.00              0       45              1
## 263                  0.65              1       28              1
## 264                  0.84              1       23              1
## 265                  0.84              1       23              1
## 266                  0.80              1       31              1
## 267                  0.50              1       20              1
## 268                  0.59              1       23              1
## 269                  0.59              1       24              1
## 270                  0.59              1       24              1
## 271                  1.00              1       18              1
## 272                  0.97              1       18              1
## 273                  0.97              1       15              1
## 274                    NA              1       13              1
## 275                  0.77              0       25              1
## 276                  0.97              1       51              1
## 277                  0.33              0       20              1
## 278                  0.33              0       18              1
## 279                  0.46              0       15              1
## 280                  0.33              0       13              1
## 281                  0.33              0       13              0
## 282                  0.33              0       11              1
## 283                  0.33              0       11              1
## 284                  0.33              0        9              1
## 285                  0.33              0        8              1
## 286                  0.33              0       16              1
## 287                  0.33              0        9              1
## 288                  0.77              0       27              1
## 289                  0.99              0       24              1
## 290                  0.78              0       27              1
## 291                  0.88              1       10              1
## 292                  0.84              0       20              1
## 293                  0.96              0       28              1
## 294                  0.00              0       21              1
## 295                  0.38              0       34              1
## 296                  0.97              0       25              1
## 297                  0.84              0       19              1
## 298                  1.00              0       22              1
## 299                  0.65              1       28              1
## 300                  0.91              1       30              1
## 301                  0.00              0       25              1
## 302                  0.94              1       31              1
## 303                  0.84              0       16              1
## 304                  0.84              0       16              1
## 305                  0.96              0       23              1
## 306                  0.84              1       23              1
## 307                  0.00              0       24              1
## 308                  0.00              0       17              1
## 309                  1.00              0       37              1
## 310                  1.00              0       18              1
## 311                  1.00              0       17              1
## 312                  0.84              0       19              1
## 313                    NA              1       20              1
## 314                  1.00              1       20              1
## 315                  0.91              1       29              1
## 316                  0.94              1       29              1
## 317                  0.84              0       19              1
## 318                  1.00              0       25              1
## 319                    NA              0       17              1
## 320                  0.84              0       17              1
## 321                    NA              0       23              0
## 322                  1.00              0       18              1
## 323                    NA              0       21              1
## 324                  1.00              1       20              1
## 325                  0.00              0        6              1
## 326                  0.84              0       16              1
## 327                  0.84              1       23              1
## 328                  0.50              0       10              1
## 329                  0.97              0       27              1
## 330                  0.88              1       25              1
## 331                  0.50              0       28              1
## 332                  0.00              1       25              1
## 333                  1.00              0       21              1
## 334                  0.84              0       16              1
## 335                  0.00              0       16              1
## 336                  0.36              1       14              1
## 337                  0.00              0       17              1
## 338                  1.00              0       28              1
## 339                    NA              0       24              1
## 340                  0.97              0       28              1
## 341                  0.70              1       15              1
## 342                  0.70              1       16              1
## 343                  0.84              0       18              1
## 344                    NA              0       14              1
## 345                  0.25              0       21              1
## 346                  0.84              0       14              1
## 347                  0.84              0       15              1
## 348                  0.70              1       14              1
## 349                  1.00              0       25              1
## 350                    NA              1       27              1
## 351                  0.97              0       28              1
## 352                  0.84              1       25              1
## 353                  0.81              0       28              1
## 354                    NA              0       12              1
## 355                  0.97              0       28              1
## 356                  0.75              1       27              1
## 357                  0.75              1       33              1
## 358                  1.00              1       22              1
## 359                    NA              0       13              1
## 360                  0.71              0       15              1
## 361                  0.84              0       14              1
## 362                  0.71              0       13              1
## 363                    NA              0       20              0
## 364                    NA              0       20              1
## 365                  0.84              1       26              1
## 366                  0.84              1       23              1
## 367                  0.71              0       16              1
## 368                    NA              0       27              1
## 369                    NA              1       17              1
## 370                  0.88              0       20              1
## 371                  0.88              0       20              1
## 372                  0.88              0       19              1
## 373                  0.71              0       14              1
## 374                  0.40              0       37              1
## 375                  0.00              0       27              1
## 376                  0.00              0       18              1
## 377                  0.00              0       25              1
## 378                  0.84              0       13              1
## 379                  0.40              1       18              1
## 380                  1.00              1       17              1
## 381                    NA              1       29              1
## 382                  0.33              0       14              1
## 383                  0.04              1       19              1
## 384                  0.02              0       35              1
## 385                  0.88              1       28              1
## 386                  0.88              1       16              1
## 387                  0.88              1       16              1
## 388                  0.38              0       20              1
## 389                  0.38              0       18              1
## 390                  0.38              0       20              1
## 391                  0.90              0       18              1
## 392                  0.90              0       18              1
## 393                    NA              0       18              1
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## 395                  0.84              0       19              1
## 396                  0.84              1       24              1
## 397                  0.70              1       16              1
## 398                  1.00              0       19              1
## 399                  0.91              1       22              1
## 400                  0.70              1       18              1
## 401                  0.00              0       14              1
## 402                  0.00              0       25              1
## 403                  0.92              1       42              1
## 404                  0.50              0       19              1
## 405                  0.50              0       19              1
## 406                  0.75              0       19              1
## 407                  0.75              0       27              1
## 408                  0.89              1       33              1
## 409                  0.86              0       20              1
## 410                  0.86              0       19              1
## 411                  0.86              0       24              1
## 412                  0.40              1       34              1
## 413                    NA              0        9              1
## 414                  0.40              1       32              1
## 415                  0.86              0       26              1
## 416                  0.78              0       28              1
## 417                    NA              1       27              1
## 418                  0.50              0       17              1
## 419                  0.91              1       28              1
## 420                  0.33              0       15              1
## 421                  0.97              0       29              1
## 422                  0.00              0       13              1
## 423                  0.00              0       10              1
## 424                  0.23              0       23              1
## 425                  0.02              0       38              1
## 426                  0.82              1       34              1
## 427                  0.84              1       24              1
## 428                  1.00              1       12              1
## 429                    NA              0       16              1
## 430                  0.75              0       16              1
## 431                  0.81              0       27              1
## 432                  0.00              0        9              1
## 433                  0.96              0       32              1
## 434                  0.84              1       22              1
## 435                    NA              0       17              1
## 436                  1.00              0       32              1
## 437                  0.00              0       25              1
## 438                  0.81              0       28              1
## 439                  0.82              0       41              1
## 440                  0.75              0       20              1
## 441                  0.00              0        9              1
## 442                    NA              0       10              1
## 443                  0.17              0       14              1
## 444                  0.97              0       32              1
## 445                  0.84              1       26              1
## 446                  0.84              1       35              1
## 447                  0.84              1       27              1
## 448                  1.00              0       18              1
## 449                  1.00              0       19              1
## 450                  1.00              0       20              1
## 451                  1.00              0       18              1
## 452                  1.00              0       18              1
## 453                  0.00              0       10              1
## 454                  1.00              0       24              1
## 455                  1.00              1       51              1
## 456                  1.00              0       22              1
## 457                  0.00              0       27              1
## 458                  0.09              0       17              1
## 459                  0.25              0       28              0
## 460                  0.88              1       23              1
## 461                  0.93              0       12              1
## 462                  0.84              1       25              1
## 463                  0.84              1       25              1
## 464                  1.00              1       13              1
## 465                  1.00              0       23              1
## 466                  0.00              0       13              1
## 467                  1.00              0       27              1
## 468                  0.50              0       12              1
## 469                  0.89              1       30              1
## 470                  1.00              1       34              1
## 471                    NA              0        9              1
## 472                  0.81              0       27              1
## 473                  0.94              1       43              1
## 474                  0.94              1       30              1
## 475                  1.00              0       15              1
## 476                  0.89              0       27              1
## 477                  0.86              0       22              1
## 478                  0.86              0       25              1
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## 480                  0.86              0       29              1
## 481                  0.67              1       22              1
## 482                  1.00              0       23              1
## 483                  0.97              0       28              1
## 484                  0.00              0       12              1
## 485                  0.99              0       26              1
## 486                  0.84              0       16              1
## 487                    NA              0       20              1
## 488                    NA              0       20              1
## 489                    NA              0       17              1
## 490                    NA              0       17              1
## 491                    NA              0       18              1
## 492                    NA              0       17              1
## 493                    NA              0       17              1
## 494                    NA              0       17              1
## 495                  0.98              1       18              1
## 496                  0.84              1       21              1
## 497                  0.84              1       24              1
## 498                  0.84              1       24              1
## 499                  0.89              1       31              1
## 500                  1.00              1       38              1
## 501                  1.00              1       39              1
## 502                  0.00              0       17              1
## 503                  0.91              1       37              1
## 504                  0.91              1       38              1
## 505                  0.00              0       28              1
## 506                  0.70              1       24              1
## 507                  0.11              0       29              1
## 508                  0.00              0       27              1
## 509                  0.00              0       24              1
## 510                  0.00              0       22              1
## 511                  0.21              0       19              1
## 512                  0.91              1       28              1
## 513                  0.83              0       25              1
## 514                  0.71              0       15              1
## 515                    NA              0       24              1
## 516                  0.71              0       18              1
## 517                  0.11              0       32              1
## 518                  1.00              1       39              1
## 519                  0.00              0       27              1
## 520                  0.81              0       27              1
## 521                  0.11              0       23              0
## 522                  0.00              0       23              1
## 523                  0.00              0       23              1
## 524                  0.00              0       22              1
## 525                  0.00              0       22              1
## 526                  0.00              0       22              1
## 527                  0.33              0       16              1
## 528                  0.91              1       36              1
## 529                  0.91              1       37              1
## 530                  0.71              0       14              1
## 531                  1.00              1       39              1
## 532                  1.00              1       39              1
## 533                  0.50              0       17              1
## 534                  0.50              0       16              1
## 535                  0.50              0       16              1
## 536                  1.00              1       39              1
## 537                  0.98              0       13              0
## 538                    NA              0       24              1
## 539                  1.00              0       12              1
## 540                  1.00              0       12              1
## 541                    NA              0       21              1
## 542                  0.50              1       33              1
## 543                  1.00              0       15              1
## 544                  1.00              0       22              1
## 545                  0.97              0       27              1
## 546                  0.82              0       24              1
## 547                  0.90              0       25              1
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## 549                  1.00              1       49              1
## 550                  0.84              0       17              1
## 551                    NA              0       11              1
## 552                  0.71              1       23              1
## 553                  1.00              1       30              1
## 554                  0.97              0       31              1
## 555                  0.91              1       31              1
## 556                  0.99              1       39              1
## 557                  0.99              1       39              1
## 558                  0.99              1       35              1
## 559                  0.99              1       39              1
## 560                  0.99              1       38              1
## 561                  0.99              1       40              1
## 562                    NA              0       18              1
## 563                  1.00              1       31              1
## 564                  0.50              0       10              1
## 565                  0.89              1       31              1
## 566                    NA              0       18              1
## 567                  0.86              0       23              1
## 568                  0.84              1       23              1
## 569                  0.84              1       24              1
## 570                  0.84              1       22              1
## 571                  0.75              0       19              1
## 572                    NA              0       27              0
## 573                  0.00              0       19              1
## 574                  0.00              0       19              1
## 575                  0.00              0       19              1
## 576                  0.96              0       23              1
## 577                  0.96              0       26              1
## 578                  0.00              0       17              1
## 579                  0.84              0       19              1
## 580                  1.00              0       17              1
## 581                  0.96              0       24              1
## 582                  0.91              1       37              1
## 583                  1.00              0       19              1
## 584                  0.81              0       29              1
## 585                  0.84              0       19              1
## 586                  0.71              0       17              1
## 587                  0.81              0       28              1
## 588                  1.00              1       36              1
## 589                  0.84              0       16              1
## 590                  1.00              0       19              1
## 591                  0.84              0       20              1
## 592                  0.96              1       36              1
## 593                  0.96              1       35              1
## 594                  0.96              1       36              1
## 595                  0.00              0       10              1
## 596                  1.00              0       38              1
## 597                  1.00              1       25              1
## 598                  0.91              1       28              1
## 599                  0.97              0       28              1
## 600                    NA              0       16              1
## 601                  0.84              0       18              1
## 602                  0.09              0       13              1
## 603                  1.00              0       18              1
## 604                  0.00              0       12              1
## 605                  1.00              0       14              1
## 606                  0.41              0       38              1
## 607                  0.73              1       22              1
## 608                  0.73              1       18              1
## 609                  0.73              1       21              1
## 610                  0.73              1       20              1
## 611                  0.81              0       28              1
## 612                  0.96              1       34              1
## 613                  0.81              0       29              1
## 614                  0.73              1       21              1
## 615                  0.91              1       29              1
## 616                  0.91              1       29              1
## 617                  0.93              1       32              1
## 618                  0.89              1       30              1
## 619                  0.86              0       24              1
## 620                    NA              0       38              1
## 621                  0.81              0       26              1
## 622                  0.86              0       18              1
## 623                  1.00              0       16              1
## 624                  0.73              1       22              1
## 625                  0.84              0       15              1
## 626                    NA              0       18              1
## 627                  1.00              1       58              1
## 628                  0.91              1       37              1
## 629                  1.00              1       49              1
## 630                  1.00              1       49              1
## 631                  0.84              0       19              1
## 632                    NA              1       23              1
## 633                    NA              0       19              1
## 634                  1.00              1       49              1
## 635                  0.99              1       39              1
## 636                  0.99              1       38              1
## 637                  0.73              1       20              1
## 638                  0.41              0       38              1
## 639                  0.91              1       36              1
## 640                  0.97              0       28              1
## 641                  0.75              0       22              1
## 642                  0.41              0       14              1
## 643                  0.75              0       19              1
## 644                  0.84              1       24              1
## 645                  0.84              1       16              1
## 646                  0.84              1       24              1
## 647                  0.96              0       14              1
## 648                  0.36              1       16              1
## 649                  0.36              1       15              1
## 650                  0.86              0       19              1
## 651                  0.89              1       31              1
## 652                    NA              0       21              1
## 653                  0.93              1       19              1
## 654                  0.50              1       22              1
## 655                  0.89              1       29              1
## 656                  0.30              0       40              1
## 657                  1.00              1       37              1
## 658                  1.00              1       35              1
## 659                  0.84              1       24              1
## 660                  1.00              1       28              1
## 661                    NA              0       22              1
## 662                  0.86              0       24              1
## 663                  0.74              0       25              1
## 664                    NA              0       24              1
## 665                  0.13              0       10              1
## 666                  0.13              0       11              1
## 667                  0.13              0       10              1
## 668                  0.13              0       12              1
## 669                  0.13              0       12              1
## 670                  0.13              0       11              1
## 671                  0.13              0       12              1
## 672                  0.13              0       12              1
## 673                  0.13              0       11              1
## 674                  0.13              0       12              1
## 675                  0.13              0       12              1
## 676                  0.13              0       12              1
## 677                  0.13              0       12              1
## 678                  0.13              0       12              1
## 679                  0.13              0       12              1
## 680                  0.13              0       12              1
## 681                  1.00              1       15              1
## 682                  0.84              0       16              1
## 683                  1.00              1       37              1
## 684                  1.00              1       13              1
## 685                  0.33              1       30              1
## 686                    NA              0       20              1
## 687                  1.00              0       19              1
## 688                  0.41              0       36              1
## 689                  0.41              0       32              1
## 690                  0.23              0       22              1
## 691                  0.99              0       27              1
## 692                  1.00              0       25              1
## 693                    NA              0       15              1
## 694                  0.36              1       19              1
## 695                  0.77              0       27              1
## 696                    NA              0       14              1
## 697                    NA              0       14              1
## 698                  0.84              1       18              1
## 699                  0.84              1       15              1
## 700                  0.84              1       13              1
## 701                  1.00              0        9              1
## 702                  0.41              0       37              1
## 703                  0.97              0       29              1
## 704                  0.91              1       29              1
## 705                  0.84              1       24              1
## 706                  1.00              1       26              1
## 707                  0.97              0       32              1
## 708                  0.97              0       23              1
## 709                  0.90              0       15              1
## 710                  0.90              0       12              1
## 711                  0.90              0       20              1
## 712                  1.00              0       18              1
## 713                  0.13              0       15              1
## 714                  0.13              0       14              1
## 715                  0.13              0       18              1
## 716                  0.13              0       18              1
## 717                  0.13              0       17              1
## 718                  0.13              0       18              1
## 719                  0.13              0       14              1
## 720                  0.13              0       17              1
## 721                  0.13              0       17              1
## 722                  0.13              0       16              1
## 723                  0.84              1       24              1
## 724                    NA              0       35              1
## 725                  1.00              0       16              1
## 726                  0.84              1       25              1
## 727                  0.90              0       18              1
## 728                  0.97              0       28              1
## 729                    NA              0       24              1
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## 731                    NA              0       23              1
## 732                  0.91              0       17              1
## 733                  0.91              0       23              1
## 734                  0.90              0       14              1
## 735                  0.97              0       28              1
## 736                  0.73              1       21              1
## 737                  0.88              1       17              1
## 738                  0.88              1       17              1
## 739                    NA              0       23              1
## 740                  0.90              0       12              1
## 741                  0.00              0       32              1
## 742                  1.00              0       24              1
## 743                  0.67              0       15              1
## 744                    NA              0       21              1
## 745                    NA              1       31              1
## 746                  0.91              0       10              1
## 747                  0.91              0       12              1
## 748                  0.90              0       19              1
## 749                  0.30              0       38              1
## 750                  1.00              1       37              1
## 751                  0.84              1       22              1
## 752                  1.00              1       34              1
## 753                    NA              0       18              1
## 754                  0.90              0       21              1
## 755                  0.97              0       30              1
## 756                  0.84              0       19              1
## 757                  0.30              0       38              1
## 758                  1.00              0        3              0
## 759                  0.23              0       17              1
## 760                  0.30              0       39              1
## 761                  0.90              0       19              1
## 762                  0.90              0       17              1
## 763                  0.30              0       35              1
## 764                    NA              1       14              1
## 765                  0.90              0       16              1
## 766                    NA              0       21              1
## 767                  0.23              0       17              1
## 768                  0.91              1       28              1
## 769                  0.90              0       17              1
## 770                    NA              1       22              1
## 771                    NA              0       36              1
## 772                    NA              0       27              1
## 773                  1.00              1       36              1
## 774                  0.99              0       29              1
## 775                  1.00              1       23              1
## 776                  0.25              0       44              1
## 777                  0.97              0       28              1
## 778                  0.30              0       65              1
## 779                  0.70              0       23              1
## 780                  0.40              1       28              1
## 781                  0.67              1       24              0
## 782                  0.90              0       19              1
## 783                  0.90              0       22              1
## 784                  0.90              0       15              1
## 785                  0.90              0       16              1
## 786                  0.97              0       27              1
## 787                  1.00              0        3              0
## 788                    NA              0       21              1
## 789                    NA              0       23              1
## 790                  1.00              1       37              1
## 791                  0.90              0       18              1
## 792                  0.73              1       19              1
## 793                    NA              1       19              1
## 794                  1.00              0       40              1
## 795                    NA              1       15              1
## 796                    NA              1       20              1
## 797                  0.84              1       16              1
## 798                    NA              0       23              1
## 799                  0.23              0       16              0
## 800                  0.23              0       15              0
## 801                  0.00              0       17              1
## 802                  1.00              0       16              1
## 803                    NA              0       17              1
## 804                  0.83              0       25              1
## 805                  0.75              0       17              1
## 806                  1.00              1       29              1
## 807                  0.67              0       25              1
## 808                  0.89              0       27              1
## 809                  0.96              0       24              1
## 810                  0.89              1       31              1
## 811                  0.89              1       28              1
## 812                  0.93              1       21              1
## 813                  0.93              1       22              1
## 814                  0.97              0       15              1
## 815                  0.96              0       25              1
## 816                    NA              0       35              1
## 817                  0.13              0       11              1
## 818                  0.74              0       30              1
## 819                  1.00              0       15              1
## 820                    NA              1        7              1
## 821                  0.00              0       32              1
## 822                  1.00              0        7              0
## 823                  1.00              0        8              1
## 824                  1.00              0        7              1
## 825                  1.00              0        7              1
## 826                  1.00              0        7              1
## 827                  0.84              1       15              1
## 828                    NA              0       24              1
## 829                  0.89              1       32              1
## 830                  1.00              0       14              1
## 831                  0.23              0       26              1
## 832                  0.99              0       31              1
## 833                  0.75              0       25              1
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## 835                  0.13              0       11              1
## 836                  0.13              0       11              1
## 837                  0.13              0       11              1
## 838                  0.13              0       11              1
## 839                  0.13              0       11              1
## 840                  0.81              0       29              1
## 841                  0.50              0       15              1
## 842                  0.91              1       29              1
## 843                  0.89              1       24              1
## 844                    NA              0       17              1
## 845                    NA              0       17              1
## 846                  0.89              1       29              1
## 847                    NA              0        9              1
## 848                    NA              0       17              1
## 849                  0.06              0       22              1
## 850                  0.84              1       26              1
## 851                  0.84              1       28              1
## 852                  1.00              0       20              1
## 853                  0.84              1       26              1
## 854                  0.84              1       26              1
## 855                  0.84              1       26              1
## 856                  0.56              1       29              1
## 857                  0.89              1       30              1
## 858                  0.89              1       33              1
## 859                  0.89              1       31              1
## 860                  0.73              1       65              1
## 861                  1.00              0       19              1
## 862                  0.89              1       30              1
## 863                  1.00              0        3              0
## 864                  0.81              0       27              1
## 865                  0.89              1       39              1
## 866                  0.89              1       29              1
## 867                  0.91              1       28              1
## 868                  0.23              0       20              1
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## 870                  0.89              1       31              1
## 871                  0.89              1       28              1
## 872                  0.89              1       29              1
## 873                  0.80              0       29              1
## 874                    NA              1       12              1
## 875                  0.89              1       32              1
## 876                  0.89              1       28              1
## 877                  0.96              0       28              1
## 878                  1.00              0       18              1
## 879                  1.00              0        6              0
## 880                  1.00              0       15              1
## 881                  0.81              0       30              1
## 882                    NA              0       10              1
## 883                  0.96              0       28              1
## 884                  0.96              0       30              1
## 885                  0.89              0       25              1
## 886                  0.96              0       26              1
## 887                  0.91              1       28              1
## 888                  0.96              0       29              1
## 889                  0.96              0       30              1
## 890                    NA              0       20              1
## 891                    NA              0       21              1
## 892                  0.96              1       27              1
## 893                  0.96              0       28              1
## 894                  0.96              0       27              1
## 895                  0.97              0       27              1
## 896                  0.96              0       26              1
## 897                  0.84              0       18              1
## 898                  0.50              1       23              1
## 899                  0.97              0       28              1
## 900                  0.96              1       34              1
## 901                    NA              0       23              1
## 902                  0.97              0       28              1
## 903                    NA              0       25              1
## 904                    NA              0       21              1
## 905                  0.96              1       16              1
## 906                  0.84              1       25              1
## 907                  0.93              0       11              1
## 908                  0.88              0       26              1
## 909                    NA              0       22              1
## 910                  0.94              1       13              1
## 911                  0.94              1       11              1
## 912                  0.97              0       28              1
## 913                  0.41              0       14              1
## 914                  0.41              0       11              1
## 915                  0.89              1       29              1
## 916                  0.00              0       13              1
## 917                  0.89              1       29              1
## 918                  0.41              0       44              1
## 919                  0.84              1       25              1
## 920                  1.00              0       17              1
## 921                  0.00              0       32              1
## 922                  1.00              1       30              1
## 923                  1.00              0       19              1
## 924                  0.41              0       61              1
## 925                  0.20              1       26              1
## 926                  0.30              0       31              1
## 927                  0.20              1       28              1
## 928                  0.29              0        9              1
## 929                  0.30              0       44              1
## 930                  0.30              0       35              1
## 931                  1.00              0       18              1
## 932                  1.00              0       11              1
## 933                  1.00              0       11              1
## 934                    NA              0       13              1
## 935                  1.00              1       15              1
## 936                  1.00              0       20              1
## 937                    NA              0       22              1
## 938                  1.00              0       27              1
## 939                    NA              0       15              1
## 940                    NA              0       15              1
## 941                    NA              0       15              1
## 942                  0.67              0       24              1
## 943                  1.00              0       23              1
## 944                  0.67              1       34              1
## 945                  0.00              0       28              1
## 946                  0.96              1       36              1
## 947                  0.96              0       28              1
## 948                  0.89              1       31              1
## 949                  0.89              1       27              1
## 950                    NA              0       32              1
## 951                  1.00              0       21              1
## 952                  0.89              1       27              1
## 953                  0.89              1       30              1
## 954                    NA              0       15              1
## 955                  0.50              0       21              1
## 956                  0.89              1       29              1
## 957                  0.89              1       33              1
## 958                  0.81              0       28              1
## 959                  0.50              0       32              1
## 960                    NA              1       24              1
## 961                    NA              1       25              1
## 962                    NA              1       28              1
## 963                  0.50              0       24              1
## 964                  0.00              0       17              1
## 965                  1.00              0       13              1
## 966                  0.00              0       17              1
## 967                  0.00              0       20              1
## 968                  0.00              0       21              1
## 969                  1.00              0       28              1
## 970                  0.89              1       24              1
## 971                  0.89              1       27              1
## 972                  0.89              1       35              1
## 973                  0.97              0       29              1
## 974                  0.89              1       31              1
## 975                  0.86              0       31              1
## 976                  0.89              1       30              1
## 977                  0.89              1       30              1
## 978                  0.89              1       31              1
## 979                  0.30              0       63              1
## 980                  0.89              1       27              1
## 981                    NA              0        9              1
## 982                  0.99              1       36              1
## 983                  0.89              1       26              1
## 984                  0.97              0       29              1
## 985                  0.96              0       29              1
## 986                  0.89              1       32              1
## 987                  0.96              0       29              1
## 988                  0.97              0       28              1
## 989                  1.00              0       23              1
## 990                  0.96              0       27              1
## 991                  0.30              0       45              1
## 992                  0.81              0       27              1
## 993                  0.99              0       29              1
## 994                  0.91              1       29              1
## 995                  0.90              0       17              1
## 996                  0.30              0       55              1
## 997                  0.91              1       28              1
## 998                  1.00              0       17              1
## 999                  1.00              0       18              1
## 1000                   NA              1       23              1
## 1001                 0.30              0       46              1
## 1002                 0.96              0       28              1
## 1003                 0.91              1       21              1
## 1004                 0.91              1       20              1
## 1005                 0.91              1       21              1
## 1006                 0.91              1       21              1
## 1007                 0.91              1       21              1
## 1008                 0.91              1       20              1
## 1009                 0.91              1       21              1
## 1010                 0.91              1       21              1
## 1011                 0.91              1       21              1
## 1012                 0.91              1       20              1
## 1013                 0.91              1       21              1
## 1014                 0.91              1       20              1
## 1015                 0.91              1       21              1
## 1016                 0.91              1       21              1
## 1017                 1.00              0       16              1
## 1018                 0.14              0       15              0
## 1019                 0.89              1       26              1
## 1020                 1.00              1       30              1
## 1021                 1.00              0       28              1
## 1022                 1.00              0       43              1
## 1023                   NA              0       14              1
## 1024                   NA              0       22              1
## 1025                 1.00              0       15              1
## 1026                 1.00              0       10              1
## 1027                 1.00              1       29              1
## 1028                 1.00              0       10              1
## 1029                 1.00              0       10              1
## 1030                 0.30              0       39              1
## 1031                 1.00              1       29              1
## 1032                 1.00              1       29              1
## 1033                   NA              0        6              1
## 1034                 0.84              1       25              1
## 1035                 0.91              1       27              1
## 1036                 0.88              1       26              1
## 1037                 1.00              0       35              1
## 1038                 0.99              0       24              1
## 1039                 0.67              1       29              1
## 1040                 0.50              0       18              1
## 1041                 0.97              0       26              1
## 1042                 0.97              0       34              1
## 1043                 0.89              1       30              1
## 1044                 0.89              1       29              1
## 1045                 0.91              0       12              1
## 1046                 0.97              0       26              1
## 1047                 0.09              0       15              1
## 1048                 0.31              0       20              1
## 1049                 0.97              0       32              1
## 1050                 0.91              0       12              1
## 1051                 0.91              0       13              1
## 1052                 0.91              0       13              1
## 1053                 0.91              0       14              1
## 1054                 0.91              0       15              1
## 1055                 0.91              1       29              1
## 1056                 0.96              0       26              1
## 1057                 1.00              0       17              1
## 1058                 1.00              0       24              1
## 1059                 0.00              0       16              1
## 1060                 0.00              0       15              1
## 1061                 0.00              0       16              1
## 1062                 0.00              0       16              1
## 1063                 0.00              0       16              1
## 1064                 0.00              0       16              1
## 1065                 0.60              0       13              1
## 1066                 0.00              0       15              1
## 1067                 0.81              0       27              1
## 1068                 0.00              0       16              1
## 1069                 1.00              0       19              1
## 1070                 0.91              1       28              1
## 1071                 1.00              0       22              1
## 1072                 0.89              1       29              1
## 1073                 1.00              0       17              1
## 1074                 1.00              0       22              1
## 1075                 1.00              1       29              1
## 1076                 1.00              1       29              1
## 1077                 1.00              0        7              1
## 1078                 0.00              0       15              1
## 1079                 0.00              0       15              1
## 1080                 0.91              1       28              1
## 1081                 0.00              0       15              1
## 1082                 1.00              1       38              1
## 1083                 0.97              0       29              1
## 1084                 1.00              0       17              1
## 1085                 0.00              0       30              1
## 1086                 0.91              1       28              1
## 1087                 0.00              0        9              1
## 1088                 1.00              0       16              1
## 1089                 0.84              0       16              1
## 1090                 0.84              0       16              1
## 1091                 0.41              0       32              1
## 1092                 1.00              0       11              1
## 1093                 0.96              0       26              1
## 1094                 0.84              0       22              1
## 1095                 0.97              0       26              1
## 1096                 1.00              0       17              1
## 1097                 1.00              0       16              1
## 1098                 0.96              0       14              1
## 1099                 0.96              0       14              1
## 1100                 0.96              0       14              1
## 1101                 1.00              1       29              1
## 1102                 1.00              0       16              1
## 1103                 0.31              0       17              1
## 1104                 0.00              0       30              1
## 1105                   NA              0        8              1
## 1106                 0.81              0       28              1
## 1107                   NA              0        8              1
## 1108                   NA              0        8              1
## 1109                   NA              0        8              1
## 1110                   NA              0        8              1
## 1111                 0.00              0       31              1
## 1112                   NA              0        8              1
## 1113                   NA              0        8              1
## 1114                 0.96              0       15              1
## 1115                 0.31              0       17              1
## 1116                 0.31              0       23              1
## 1117                 0.31              0       22              1
## 1118                 0.31              0       20              1
## 1119                 0.97              0       28              1
## 1120                 0.97              0       25              1
## 1121                 0.99              0       29              1
## 1122                 0.84              0       16              1
## 1123                 0.80              1       32              1
## 1124                   NA              0       21              1
## 1125                 0.97              0       30              1
## 1126                 0.74              1       24              1
## 1127                 0.74              1       25              1
## 1128                 0.74              1       25              1
## 1129                 0.74              1       25              1
## 1130                 0.74              1       26              1
## 1131                 0.74              1       26              1
## 1132                 0.93              1       15              1
## 1133                   NA              0       22              1
## 1134                 0.93              1       14              1
## 1135                 0.93              1       15              1
## 1136                 0.96              0       13              1
## 1137                 0.96              0       13              1
## 1138                 0.96              0       18              1
## 1139                 0.41              0       40              1
## 1140                   NA              0       16              1
## 1141                 0.72              1       31              1
## 1142                 0.20              1       28              1
## 1143                 0.30              0       40              1
## 1144                 0.31              0       22              1
## 1145                 1.00              0       12              1
## 1146                 0.00              0       27              1
## 1147                 0.41              0       38              1
## 1148                 0.91              1       27              1
## 1149                 0.94              1       29              1
## 1150                 0.94              1       29              1
## 1151                 0.84              1       15              1
## 1152                   NA              0       26              1
## 1153                 1.00              0       15              1
## 1154                 0.30              0       40              1
## 1155                 0.93              0       13              1
## 1156                 0.30              0       34              1
## 1157                 0.84              0       16              1
## 1158                   NA              0       16              1
## 1159                 0.36              1       16              1
## 1160                 0.94              1       30              1
## 1161                 0.99              0       29              1
## 1162                 0.00              0       19              1
## 1163                 1.00              0       29              1
## 1164                 0.96              0       14              1
## 1165                 1.00              1       37              1
## 1166                   NA              0       26              1
## 1167                 0.99              0       28              1
## 1168                 0.30              0       38              1
## 1169                 0.89              1       24              1
## 1170                 0.89              1       25              1
## 1171                 0.89              1       24              1
## 1172                 0.89              1       25              1
## 1173                 0.89              1       25              1
## 1174                   NA              0       24              1
## 1175                   NA              0       20              1
## 1176                   NA              0       20              1
## 1177                 0.95              0       28              1
## 1178                 1.00              1       43              1
## 1179                 0.00              0       10              0
## 1180                 1.00              0       19              1
## 1181                 1.00              0       14              1
## 1182                 1.00              0       17              1
## 1183                 1.00              0       20              1
## 1184                 1.00              0       17              1
## 1185                 0.00              0       11              1
## 1186                   NA              0       15              1
## 1187                   NA              0       14              0
## 1188                 0.94              1       30              1
## 1189                 0.30              0       51              1
## 1190                 0.31              0       19              1
## 1191                 0.40              0       17              1
## 1192                   NA              0       13              1
## 1193                 0.97              0       30              1
## 1194                 0.89              1       19              1
## 1195                 1.00              0        9              1
## 1196                 0.00              0       16              1
## 1197                 0.00              0       16              1
## 1198                 0.96              0       18              1
## 1199                 1.00              1       16              1
## 1200                 0.31              0       18              1
## 1201                 0.00              0       17              1
## 1202                 0.96              0       17              1
## 1203                 0.00              0       35              1
## 1204                 0.96              0       12              1
## 1205                 1.00              0       25              1
## 1206                 0.89              1       20              1
## 1207                 0.89              1       27              1
## 1208                 0.89              1       24              1
## 1209                 1.00              1       19              1
## 1210                 0.93              1       15              1
## 1211                 0.96              0       28              1
## 1212                 1.00              1       27              1
## 1213                 0.89              1       18              1
## 1214                 0.97              0       27              1
## 1215                 0.50              0       15              1
## 1216                 0.13              0       11              1
## 1217                 0.13              0       11              1
## 1218                 0.13              0       11              1
## 1219                 0.13              0       11              1
## 1220                 0.13              0       11              1
## 1221                 1.00              1       24              1
## 1222                 0.91              1       28              1
## 1223                 0.99              1       39              1
## 1224                 0.91              1       28              1
## 1225                 0.91              1       28              1
## 1226                 1.00              0       15              1
## 1227                 0.96              0       14              1
## 1228                 1.00              1       12              1
## 1229                 1.00              1       20              1
## 1230                 0.99              1       40              1
## 1231                 0.89              1       26              1
## 1232                 1.00              0       16              1
## 1233                 1.00              0       17              1
## 1234                   NA              0       12              1
## 1235                   NA              0       15              1
## 1236                 0.96              0       15              1
## 1237                 0.84              0       17              1
## 1238                   NA              1       26              1
## 1239                 0.97              0       28              1
## 1240                 0.89              1       24              1
## 1241                   NA              0       12              1
## 1242                 0.97              0       27              1
## 1243                 0.95              0       29              1
## 1244                 0.00              0       16              1
## 1245                 0.97              0       28              1
## 1246                   NA              0       14              1
## 1247                 0.89              1       27              1
## 1248                 0.89              1       26              1
## 1249                 0.00              0       17              1
## 1250                 0.00              0       16              1
## 1251                   NA              0       33              1
## 1252                 0.64              0       23              1
## 1253                 0.64              0       24              1
## 1254                 0.96              0       28              1
## 1255                 0.96              0       16              1
## 1256                 0.96              0       14              1
## 1257                 0.91              1       28              1
## 1258                 0.96              0       16              1
## 1259                 0.25              0       37              1
## 1260                 0.25              0       31              1
## 1261                 0.96              0       16              1
## 1262                 0.97              0       28              1
## 1263                 0.96              0       16              1
## 1264                 0.50              0       13              1
## 1265                 0.96              0       16              1
## 1266                 0.00              0       14              1
## 1267                 0.92              1       16              1
## 1268                 0.96              0       18              1
## 1269                 0.83              0       10              1
## 1270                 0.96              0       28              1
## 1271                 1.00              1       15              1
## 1272                 0.94              1       30              1
## 1273                   NA              0        7              1
## 1274                 0.71              0       21              1
## 1275                 1.00              0       20              1
## 1276                 0.80              0       15              1
## 1277                 1.00              1       16              0
## 1278                 1.00              1       33              1
## 1279                 0.00              0        9              1
## 1280                 1.00              0       23              1
## 1281                 0.97              0       28              1
## 1282                 1.00              1       28              1
## 1283                 0.97              0       28              1
## 1284                 0.41              0       41              1
## 1285                   NA              0       22              1
## 1286                   NA              0       23              1
## 1287                 0.97              0       28              1
## 1288                 0.91              1       28              1
## 1289                 0.72              1       17              1
## 1290                 0.96              0       16              1
## 1291                   NA              0        9              1
## 1292                 0.96              0       24              1
## 1293                 0.91              1       28              1
## 1294                 0.97              0       28              1
## 1295                 0.93              1       29              1
## 1296                 0.93              1       33              1
## 1297                 0.93              1       31              1
## 1298                 0.89              1       16              1
## 1299                   NA              0       23              1
## 1300                   NA              0       20              1
## 1301                 0.63              1       24              1
## 1302                 0.84              0       19              1
## 1303                 0.96              0       21              1
## 1304                 1.00              1       18              1
## 1305                 0.33              0       17              1
## 1306                   NA              0       22              1
## 1307                   NA              0       23              1
## 1308                 0.91              1       29              1
## 1309                   NA              0       20              1
## 1310                 0.83              0       15              1
## 1311                 0.89              1       22              1
## 1312                 0.89              1       20              1
## 1313                 0.00              0       13              1
## 1314                 1.00              1       58              1
## 1315                 0.91              0       11              1
## 1316                 0.91              1       28              1
## 1317                 0.00              0        9              1
## 1318                   NA              0       11              1
## 1319                 0.81              0       29              1
## 1320                   NA              0       10              1
## 1321                 1.00              0       38              1
## 1322                 1.00              0       36              1
## 1323                 0.41              0       25              1
## 1324                 1.00              1       11              1
## 1325                 0.90              0       26              1
## 1326                   NA              0       16              1
## 1327                 0.07              0       17              1
## 1328                 0.98              1       41              1
## 1329                 0.07              0       19              1
## 1330                 0.33              0       14              1
## 1331                 0.97              0       23              1
## 1332                 0.07              0       20              1
## 1333                 0.07              0       22              1
## 1334                 0.07              0       20              1
## 1335                 0.07              0       19              1
## 1336                   NA              0       32              1
## 1337                 0.07              0       19              1
## 1338                 1.00              0       20              1
## 1339                 0.07              0       18              1
## 1340                 0.33              0       15              1
## 1341                 0.33              0       14              1
## 1342                 0.71              0       23              1
## 1343                 0.07              0       19              1
## 1344                 0.71              0       21              1
## 1345                 0.71              0       19              1
## 1346                   NA              0       19              1
## 1347                 0.71              0       15              1
## 1348                 0.71              0       22              1
## 1349                 0.80              0       31              1
## 1350                 0.63              1       25              1
## 1351                 0.89              1       24              1
## 1352                 0.71              0       22              1
## 1353                 0.71              0       22              1
## 1354                   NA              0       15              1
## 1355                 0.71              0       16              1
## 1356                 0.99              1       40              1
## 1357                 0.99              1       34              1
## 1358                 0.57              0       30              1
## 1359                 0.71              0       21              1
## 1360                 0.71              0       22              1
## 1361                 0.07              0       20              1
## 1362                 1.00              1       38              1
## 1363                 0.71              0       21              1
## 1364                 0.71              0       21              1
## 1365                 0.71              0       22              1
## 1366                 0.30              0       38              1
## 1367                 0.71              0       21              1
## 1368                 0.71              0       21              1
## 1369                 0.71              0       22              1
## 1370                 0.71              0       22              1
## 1371                 0.71              0       21              1
## 1372                 0.00              0       23              1
## 1373                 1.00              0       21              1
## 1374                 0.00              1       26              1
## 1375                 0.80              0       30              1
## 1376                 0.99              1       39              1
## 1377                 0.00              1       24              1
## 1378                 0.71              0       22              1
## 1379                 0.71              0       21              1
## 1380                 1.00              0       11              1
## 1381                 0.00              1       24              1
## 1382                 0.57              0       29              1
## 1383                 0.07              0       14              1
## 1384                 0.07              0       13              1
## 1385                 0.00              1       23              1
## 1386                 0.39              0       24              1
## 1387                 0.07              0       17              1
## 1388                 0.00              0       13              1
## 1389                 0.77              0       25              1
## 1390                 0.71              0       21              1
## 1391                 0.71              0       21              1
## 1392                   NA              1       20              1
## 1393                 0.09              0       28              1
## 1394                   NA              0       15              1
## 1395                 0.99              1       35              1
## 1396                   NA              0       13              1
## 1397                 0.33              0        9              1
## 1398                 0.99              1       37              1
## 1399                 1.00              0       16              1
## 1400                 0.99              1       36              1
## 1401                 0.60              0       31              1
## 1402                 0.60              0       32              1
## 1403                 0.41              0       37              1
## 1404                 1.00              1       33              1
## 1405                 1.00              0       34              1
## 1406                 0.00              0       15              1
## 1407                 1.00              0       16              1
## 1408                 0.50              0       11              1
## 1409                 1.00              0       36              1
## 1410                 1.00              0       16              1
## 1411                 0.33              0       17              1
## 1412                 0.97              0       28              1
## 1413                 0.96              0       28              1
## 1414                 0.00              0       15              1
## 1415                 0.25              0        8              1
## 1416                 0.96              0       25              1
## 1417                 0.99              0       27              1
## 1418                 0.97              0       28              1
## 1419                 0.07              0       16              1
## 1420                 0.07              0       17              1
## 1421                 0.00              0       14              1
## 1422                 0.07              0       18              1
## 1423                 0.07              0       19              1
## 1424                 0.95              0       28              1
## 1425                 0.00              0       13              1
## 1426                 1.00              1       27              1
## 1427                   NA              0       21              1
## 1428                 1.00              1       27              1
## 1429                 0.99              1       28              1
## 1430                 0.99              1       28              1
## 1431                 0.94              1       29              1
## 1432                 0.00              0        8              1
## 1433                 0.00              0       21              1
## 1434                 0.97              0       28              1
## 1435                 0.41              0       56              1
## 1436                 0.40              0       15              1
## 1437                 0.89              1       26              1
## 1438                 0.60              0       17              1
## 1439                 0.33              0       17              1
## 1440                 1.00              0       17              1
## 1441                 0.89              1       24              1
## 1442                 0.99              1       36              1
## 1443                 0.57              0       28              1
## 1444                 0.89              1       25              1
## 1445                 0.67              0       24              1
## 1446                 0.31              0       16              1
## 1447                 0.07              0       19              1
## 1448                 0.99              0       15              1
## 1449                 0.99              0       23              1
## 1450                 0.99              0       24              1
## 1451                   NA              0       14              1
## 1452                 0.27              0       13              1
## 1453                 0.00              0       11              1
## 1454                 0.91              1       28              1
## 1455                 0.96              0       28              1
## 1456                 0.89              1       26              1
## 1457                 1.00              0       24              1
## 1458                 1.00              1       19              1
## 1459                 0.89              0       15              1
## 1460                 0.89              0       17              1
## 1461                 0.27              0       10              1
## 1462                 0.77              0       31              1
## 1463                 0.59              1       22              1
## 1464                 0.59              1       18              1
## 1465                 0.95              0       26              1
## 1466                 0.59              1       18              1
## 1467                 0.97              0       28              1
## 1468                 0.96              0       28              1
## 1469                 0.25              0       17              1
## 1470                 0.71              0       21              1
## 1471                 1.00              0        6              1
## 1472                 0.80              1       33              1
## 1473                 0.96              0       26              1
## 1474                 1.00              0       15              1
## 1475                 1.00              0       18              1
## 1476                 0.80              1       34              1
## 1477                 0.41              0       36              1
## 1478                 0.74              0       33              1
## 1479                 0.89              1       18              1
## 1480                   NA              0       12              1
## 1481                 0.91              0       14              1
## 1482                 1.00              1        9              1
## 1483                 0.97              0       28              1
## 1484                 0.30              0       31              1
## 1485                 0.65              1       23              1
## 1486                   NA              0       19              1
## 1487                   NA              0       17              1
## 1488                 0.79              1       32              1
## 1489                 0.96              0       16              1
## 1490                 0.75              0       19              1
## 1491                 1.00              1       15              1
## 1492                 1.00              1       11              1
## 1493                 0.88              1       16              1
## 1494                 0.88              1       17              1
## 1495                 0.88              1       17              1
## 1496                 0.00              0        4              0
## 1497                 0.88              1       17              1
## 1498                 0.84              1       17              1
## 1499                 0.84              1       17              1
## 1500                 0.84              1       17              1
## 1501                 0.84              1       17              1
## 1502                 1.00              1       19              1
## 1503                 1.00              1       19              1
## 1504                 0.00              1       25              1
## 1505                 0.99              0       24              1
## 1506                 1.00              1       19              1
## 1507                 1.00              1       19              1
## 1508                 0.74              1       25              1
## 1509                 0.88              1       16              1
## 1510                 0.84              1       17              1
## 1511                 0.74              1       25              1
## 1512                 0.74              1       24              1
## 1513                 0.59              1       17              1
## 1514                 0.96              0       16              1
## 1515                 0.50              1       36              1
## 1516                   NA              0       20              1
## 1517                 0.96              0       17              1
## 1518                 0.74              1       25              1
## 1519                 0.96              0       15              1
## 1520                 0.96              0       22              1
## 1521                   NA              0       11              1
## 1522                 0.96              0       17              1
## 1523                 0.74              1       24              1
## 1524                 0.74              1       25              1
## 1525                 0.75              1       58              1
## 1526                 0.24              0       29              1
## 1527                 0.74              0       21              1
## 1528                 0.24              0       30              1
## 1529                 0.24              0       16              1
## 1530                 0.74              0       25              1
## 1531                 0.25              0       48              1
## 1532                 0.96              0       16              1
## 1533                 0.50              1       24              1
## 1534                 0.24              0       32              1
## 1535                 0.74              0       29              1
## 1536                 0.74              0       31              1
## 1537                 0.31              0        9              1
## 1538                 0.65              1       24              1
## 1539                 0.24              0       29              1
## 1540                 0.65              1       24              1
## 1541                 0.80              1       46              1
## 1542                 0.65              1       24              1
## 1543                 0.85              1       22              1
## 1544                 0.96              0       17              1
## 1545                 0.31              0       20              1
## 1546                   NA              0       11              1
## 1547                 0.24              0       31              1
## 1548                 1.00              0       17              1
## 1549                 0.99              0       19              1
## 1550                 0.89              1       24              1
## 1551                 0.96              0       31              1
## 1552                 0.74              0       12              1
## 1553                 0.41              0       48              1
## 1554                 0.95              0       26              1
## 1555                 0.99              0       24              1
## 1556                 0.59              1       24              1
## 1557                 1.00              0       34              1
## 1558                 1.00              0       33              1
## 1559                 1.00              0       37              1
## 1560                 0.33              0       31              1
## 1561                 1.00              1       12              1
## 1562                 1.00              1       13              1
## 1563                 1.00              1       12              1
## 1564                 0.84              0       17              1
## 1565                 0.97              1       25              1
## 1566                 0.71              0       14              1
## 1567                 0.96              0       20              1
## 1568                 0.96              0       20              1
## 1569                 0.96              0       20              1
## 1570                 0.96              0       20              1
## 1571                 0.96              0       20              1
## 1572                 0.96              0       20              1
## 1573                 0.96              0       20              1
## 1574                 0.99              0       17              1
## 1575                 0.99              0       18              1
## 1576                 0.84              0       16              1
## 1577                 0.99              0       18              1
## 1578                 0.89              1       26              1
## 1579                 0.93              0       13              1
## 1580                 0.93              1       13              1
## 1581                 0.31              0       18              1
## 1582                 0.41              0       43              1
## 1583                 1.00              0       11              1
## 1584                   NA              1       27              1
## 1585                 0.96              0       15              1
## 1586                 0.96              0       14              1
## 1587                 0.71              0       14              1
## 1588                 0.65              1       23              1
## 1589                 1.00              0       19              1
## 1590                 1.00              1       17              1
## 1591                 1.00              1       17              1
## 1592                 1.00              1       17              1
## 1593                 1.00              1       17              1
## 1594                 1.00              1       16              1
## 1595                 0.67              0       23              1
## 1596                 0.95              0       16              1
## 1597                 0.95              0       22              1
## 1598                 0.97              0       20              1
## 1599                 0.97              0       21              1
## 1600                 1.00              0       14              1
## 1601                 1.00              0       35              0
## 1602                 1.00              0       14              1
## 1603                 1.00              0       14              1
## 1604                 0.89              1       26              1
## 1605                 0.89              1       27              1
## 1606                 0.99              1       14              1
## 1607                 0.89              1       30              1
## 1608                 0.96              1       17              1
## 1609                 0.99              1       14              1
## 1610                 0.99              1       14              1
## 1611                 0.96              0       10              1
## 1612                 0.96              0        9              1
## 1613                 0.89              1       26              1
## 1614                 0.89              1       27              1
## 1615                 1.00              1       14              1
## 1616                 1.00              1       14              1
## 1617                 1.00              1       14              1
## 1618                 1.00              1       14              1
## 1619                 0.99              0       14              1
## 1620                 0.99              0       15              1
## 1621                 0.99              0       15              1
## 1622                 0.80              1       14              1
## 1623                 0.95              0       19              1
## 1624                 0.41              0       29              1
## 1625                 0.98              1       38              1
## 1626                 1.00              0       19              1
## 1627                 0.65              1       23              1
## 1628                 0.65              1       24              1
## 1629                 0.65              1       23              1
## 1630                 0.65              1       23              1
## 1631                 0.82              1       34              1
## 1632                 0.74              1       33              1
## 1633                 0.80              0       18              1
## 1634                 0.72              1       25              1
## 1635                 0.96              0       29              1
## 1636                 0.80              0       25              1
## 1637                 0.97              0       29              1
## 1638                 0.59              0       23              1
## 1639                 1.00              0       21              1
## 1640                 0.72              1       20              1
## 1641                 0.84              0       18              1
## 1642                 1.00              1       20              1
## 1643                 1.00              1       13              1
## 1644                 1.00              0       15              1
## 1645                 0.99              1       12              1
## 1646                 1.00              0       12              1
## 1647                 0.97              0       21              1
## 1648                 0.29              0       15              1
## 1649                 0.95              0       22              1
## 1650                 0.99              0       24              1
## 1651                 0.96              1        9              1
## 1652                 0.72              1       26              1
## 1653                 1.00              0       13              1
## 1654                 1.00              0       12              1
## 1655                 1.00              0       11              1
## 1656                 0.84              1       19              1
## 1657                 0.84              0       18              1
## 1658                 0.30              0       45              1
## 1659                 0.92              1       18              1
## 1660                 0.99              0       16              1
## 1661                 0.74              1       42              1
## 1662                 0.97              0       19              1
## 1663                 0.92              0       45              1
## 1664                 1.00              0       18              1
## 1665                 0.97              0       29              1
## 1666                 0.80              1       13              1
## 1667                 0.96              0       20              1
## 1668                 0.99              1       48              1
## 1669                 0.99              1       48              1
## 1670                 0.99              1       38              1
## 1671                 1.00              0       30              1
## 1672                 0.99              1       40              1
## 1673                 0.99              1       39              1
## 1674                 0.97              0       28              1
## 1675                 0.96              0       19              1
## 1676                 0.71              0       16              1
## 1677                 1.00              0       13              1
## 1678                 0.99              0       16              1
## 1679                 0.96              1       24              1
## 1680                 0.96              1       22              1
## 1681                 1.00              1       14              1
## 1682                 0.71              0       17              1
## 1683                 0.74              1       23              1
## 1684                 0.99              0       19              1
## 1685                 1.00              0       10              1
## 1686                 1.00              0        9              1
## 1687                 0.73              1       63              1
## 1688                 0.95              0       17              1
## 1689                 0.20              0       36              1
## 1690                 0.84              1       15              1
## 1691                 1.00              0        6              0
## 1692                 1.00              0       10              1
## 1693                 1.00              1        6              1
## 1694                 0.96              0       23              1
## 1695                 0.99              0       21              1
## 1696                 1.00              0       54              1
## 1697                 0.41              0       39              1
## 1698                 0.84              1       15              1
## 1699                 0.84              1       13              1
## 1700                 0.74              1       34              1
## 1701                 0.84              1       15              1
## 1702                 0.84              1       15              1
## 1703                 0.71              0       14              1
## 1704                 0.61              0       13              1
## 1705                 0.84              1       17              1
## 1706                 1.00              1       28              1
## 1707                 0.47              0       29              1
## 1708                 0.59              1       31              1
## 1709                 0.59              1       37              1
## 1710                 0.86              1       12              1
## 1711                 0.61              0        9              1
## 1712                 0.84              1       19              1
## 1713                 0.31              0       19              1
## 1714                 0.88              1       19              1
## 1715                 0.85              0       39              1
## 1716                 0.90              0       42              1
## 1717                 0.31              0        9              1
## 1718                 0.90              0       45              1
## 1719                 0.50              0       13              1
## 1720                 0.30              0       45              1
## 1721                 0.88              1       17              1
## 1722                 0.41              0       33              1
## 1723                 1.00              0        9              1
## 1724                 0.80              0       29              1
## 1725                 0.96              0       19              1
##      Amenities_Shampoo Amenities_Kitchen Amenities_Long_Term Amenities_Washer
## 1                    1                 1                   1                1
## 2                    1                 1                   1                1
## 3                    1                 1                   1                1
## 4                    1                 1                   1                1
## 5                    1                 1                   1                1
## 6                    1                 1                   1                1
## 7                    1                 1                   1                1
## 8                    1                 1                   1                1
## 9                    1                 1                   1                1
## 10                   1                 1                   1                1
## 11                   0                 1                   1                1
## 12                   1                 0                   1                1
## 13                   1                 1                   1                1
## 14                   1                 1                   1                1
## 15                   0                 1                   1                1
## 16                   1                 0                   1                0
## 17                   1                 1                   1                1
## 18                   1                 1                   1                1
## 19                   0                 0                   1                0
## 20                   1                 1                   1                1
## 21                   1                 1                   1                0
## 22                   1                 1                   1                1
## 23                   1                 1                   1                1
## 24                   1                 1                   1                1
## 25                   1                 1                   1                1
## 26                   0                 1                   1                1
## 27                   0                 1                   1                1
## 28                   1                 1                   1                1
## 29                   1                 1                   1                1
## 30                   1                 1                   1                1
## 31                   1                 1                   1                1
## 32                   1                 1                   1                1
## 33                   1                 1                   1                1
## 34                   0                 1                   1                1
## 35                   1                 1                   1                1
## 36                   0                 1                   1                1
## 37                   0                 1                   1                1
## 38                   1                 0                   1                0
## 39                   1                 1                   1                1
## 40                   1                 0                   1                1
## 41                   1                 1                   1                1
## 42                   0                 1                   1                1
## 43                   1                 0                   0                1
## 44                   0                 1                   1                1
## 45                   0                 1                   1                1
## 46                   0                 1                   1                1
## 47                   0                 1                   1                1
## 48                   1                 1                   1                1
## 49                   1                 0                   1                1
## 50                   1                 0                   1                1
## 51                   0                 1                   1                1
## 52                   1                 1                   1                1
## 53                   1                 1                   1                1
## 54                   0                 1                   1                1
## 55                   1                 1                   1                1
## 56                   1                 1                   1                1
## 57                   0                 1                   1                1
## 58                   1                 1                   1                1
## 59                   1                 1                   1                1
## 60                   1                 1                   1                1
## 61                   1                 1                   1                0
## 62                   0                 1                   1                1
## 63                   1                 1                   1                0
## 64                   0                 1                   1                1
## 65                   0                 1                   1                1
## 66                   1                 1                   1                1
## 67                   1                 1                   1                1
## 68                   0                 1                   1                1
## 69                   0                 1                   1                1
## 70                   1                 1                   1                1
## 71                   1                 1                   1                1
## 72                   0                 1                   1                1
## 73                   1                 1                   1                1
## 74                   1                 1                   1                1
## 75                   0                 1                   1                1
## 76                   1                 1                   1                1
## 77                   1                 1                   1                1
## 78                   0                 1                   1                1
## 79                   1                 1                   1                0
## 80                   1                 1                   1                1
## 81                   1                 1                   1                1
## 82                   0                 1                   1                0
## 83                   0                 1                   1                1
## 84                   1                 0                   1                1
## 85                   1                 1                   1                1
## 86                   1                 0                   1                1
## 87                   1                 1                   1                1
## 88                   1                 1                   1                0
## 89                   1                 1                   1                0
## 90                   1                 1                   1                0
## 91                   1                 1                   1                1
## 92                   1                 1                   1                1
## 93                   1                 1                   1                1
## 94                   1                 0                   1                0
## 95                   1                 0                   1                0
## 96                   1                 1                   1                1
## 97                   0                 0                   1                1
## 98                   0                 0                   1                1
## 99                   0                 1                   1                1
## 100                  1                 0                   1                1
## 101                  1                 0                   1                1
## 102                  1                 0                   1                0
## 103                  0                 1                   1                1
## 104                  1                 1                   1                1
## 105                  0                 1                   1                1
## 106                  1                 0                   1                1
## 107                  0                 1                   1                1
## 108                  0                 1                   1                1
## 109                  0                 1                   1                1
## 110                  0                 1                   1                1
## 111                  0                 1                   1                1
## 112                  0                 1                   1                1
## 113                  0                 1                   1                1
## 114                  1                 1                   1                1
## 115                  0                 1                   0                1
## 116                  1                 1                   1                1
## 117                  0                 1                   1                1
## 118                  0                 1                   1                1
## 119                  0                 1                   1                0
## 120                  1                 1                   1                1
## 121                  0                 1                   1                1
## 122                  0                 1                   1                1
## 123                  0                 1                   1                1
## 124                  0                 1                   1                1
## 125                  0                 1                   1                1
## 126                  1                 1                   1                1
## 127                  1                 1                   1                1
## 128                  0                 0                   1                0
## 129                  0                 1                   1                1
## 130                  1                 1                   1                1
## 131                  1                 1                   1                1
## 132                  0                 0                   1                0
## 133                  1                 1                   1                1
## 134                  0                 1                   1                1
## 135                  1                 1                   1                1
## 136                  1                 1                   1                1
## 137                  1                 1                   1                1
## 138                  1                 1                   1                1
## 139                  0                 1                   1                1
## 140                  0                 1                   1                1
## 141                  0                 1                   1                1
## 142                  0                 1                   1                1
## 143                  0                 1                   1                1
## 144                  0                 1                   1                1
## 145                  0                 1                   1                1
## 146                  0                 1                   1                0
## 147                  0                 1                   1                1
## 148                  1                 1                   1                1
## 149                  1                 1                   1                1
## 150                  0                 1                   1                1
## 151                  1                 1                   1                1
## 152                  0                 1                   1                1
## 153                  0                 1                   1                1
## 154                  0                 1                   1                1
## 155                  0                 1                   1                1
## 156                  1                 0                   1                0
## 157                  1                 1                   1                1
## 158                  0                 0                   1                1
## 159                  1                 0                   1                1
## 160                  1                 1                   1                1
## 161                  1                 1                   1                1
## 162                  1                 1                   1                1
## 163                  1                 1                   1                1
## 164                  0                 1                   1                1
## 165                  1                 1                   1                1
## 166                  1                 1                   1                1
## 167                  1                 1                   1                0
## 168                  1                 1                   1                0
## 169                  0                 1                   1                1
## 170                  1                 1                   1                1
## 171                  1                 1                   1                1
## 172                  1                 1                   1                1
## 173                  1                 1                   1                1
## 174                  1                 1                   1                1
## 175                  1                 1                   1                1
## 176                  1                 1                   1                1
## 177                  1                 1                   1                1
## 178                  1                 0                   1                1
## 179                  0                 0                   1                1
## 180                  0                 0                   1                1
## 181                  0                 0                   1                0
## 182                  1                 0                   1                0
## 183                  1                 1                   1                1
## 184                  1                 0                   1                1
## 185                  1                 1                   1                1
## 186                  1                 1                   1                1
## 187                  1                 1                   1                1
## 188                  1                 1                   1                1
## 189                  1                 1                   1                1
## 190                  0                 0                   1                1
## 191                  1                 0                   1                1
## 192                  0                 0                   1                1
## 193                  0                 0                   1                0
## 194                  1                 1                   1                1
## 195                  1                 1                   1                1
## 196                  1                 0                   1                1
## 197                  1                 0                   1                1
## 198                  1                 0                   1                1
## 199                  1                 0                   1                1
## 200                  1                 1                   1                1
## 201                  1                 1                   1                1
## 202                  0                 0                   1                1
## 203                  0                 0                   1                1
## 204                  0                 1                   1                1
## 205                  1                 0                   1                1
## 206                  1                 0                   1                1
## 207                  1                 0                   1                1
## 208                  0                 1                   1                1
## 209                  0                 0                   1                1
## 210                  0                 0                   1                1
## 211                  0                 0                   1                1
## 212                  0                 0                   1                1
## 213                  0                 0                   1                1
## 214                  0                 0                   1                1
## 215                  1                 1                   1                1
## 216                  1                 1                   1                1
## 217                  1                 1                   1                1
## 218                  0                 0                   1                1
## 219                  1                 0                   1                1
## 220                  0                 1                   1                1
## 221                  1                 1                   1                1
## 222                  1                 0                   1                1
## 223                  1                 0                   1                1
## 224                  1                 0                   1                1
## 225                  1                 0                   1                0
## 226                  1                 0                   1                1
## 227                  1                 1                   1                1
## 228                  1                 1                   1                1
## 229                  1                 0                   1                1
## 230                  1                 1                   1                1
## 231                  1                 1                   1                1
## 232                  1                 1                   1                1
## 233                  1                 1                   1                1
## 234                  1                 1                   1                1
## 235                  1                 0                   1                1
## 236                  1                 1                   0                1
## 237                  1                 0                   1                1
## 238                  1                 0                   1                0
## 239                  1                 0                   1                1
## 240                  0                 0                   1                1
## 241                  0                 0                   1                1
## 242                  0                 0                   1                1
## 243                  0                 0                   1                1
## 244                  0                 0                   1                1
## 245                  0                 0                   1                1
## 246                  0                 0                   1                1
## 247                  0                 0                   1                1
## 248                  1                 0                   1                1
## 249                  1                 1                   1                1
## 250                  0                 1                   1                1
## 251                  1                 1                   1                1
## 252                  1                 1                   1                1
## 253                  0                 1                   1                1
## 254                  1                 1                   1                1
## 255                  1                 1                   1                1
## 256                  1                 1                   1                1
## 257                  1                 0                   1                1
## 258                  1                 0                   1                0
## 259                  1                 1                   1                1
## 260                  1                 1                   1                1
## 261                  0                 1                   1                1
## 262                  1                 1                   1                1
## 263                  1                 1                   1                1
## 264                  1                 1                   1                1
## 265                  1                 1                   1                1
## 266                  1                 1                   1                1
## 267                  1                 1                   1                1
## 268                  0                 1                   1                1
## 269                  0                 1                   1                1
## 270                  0                 1                   1                1
## 271                  1                 0                   1                1
## 272                  1                 1                   1                1
## 273                  1                 1                   1                1
## 274                  1                 0                   1                1
## 275                  0                 1                   1                1
## 276                  1                 1                   1                1
## 277                  1                 0                   1                1
## 278                  1                 0                   1                1
## 279                  1                 1                   1                1
## 280                  1                 0                   1                1
## 281                  1                 0                   1                1
## 282                  1                 0                   1                1
## 283                  1                 0                   1                1
## 284                  1                 0                   1                1
## 285                  1                 0                   1                1
## 286                  1                 0                   1                1
## 287                  1                 0                   1                1
## 288                  0                 1                   1                1
## 289                  1                 1                   1                1
## 290                  1                 1                   1                1
## 291                  1                 1                   1                1
## 292                  0                 1                   1                1
## 293                  1                 1                   1                1
## 294                  1                 1                   1                1
## 295                  1                 1                   1                1
## 296                  0                 1                   1                1
## 297                  0                 1                   1                1
## 298                  0                 1                   1                1
## 299                  1                 1                   1                1
## 300                  0                 1                   1                1
## 301                  1                 1                   1                1
## 302                  1                 1                   1                1
## 303                  0                 1                   1                1
## 304                  0                 1                   1                1
## 305                  1                 0                   1                1
## 306                  1                 1                   1                1
## 307                  1                 1                   1                1
## 308                  1                 1                   0                1
## 309                  1                 1                   1                1
## 310                  1                 0                   1                1
## 311                  1                 0                   1                1
## 312                  0                 1                   1                1
## 313                  1                 0                   1                1
## 314                  1                 0                   1                1
## 315                  0                 1                   1                1
## 316                  1                 1                   1                1
## 317                  0                 1                   1                1
## 318                  1                 0                   1                1
## 319                  1                 1                   1                1
## 320                  0                 1                   1                1
## 321                  0                 1                   1                1
## 322                  1                 1                   1                1
## 323                  1                 0                   1                1
## 324                  1                 1                   1                1
## 325                  0                 1                   1                1
## 326                  0                 1                   1                1
## 327                  1                 1                   1                1
## 328                  0                 0                   1                1
## 329                  0                 1                   1                1
## 330                  1                 1                   1                1
## 331                  1                 1                   1                0
## 332                  1                 0                   1                0
## 333                  1                 1                   1                1
## 334                  0                 1                   1                1
## 335                  1                 1                   1                1
## 336                  0                 1                   1                1
## 337                  0                 0                   1                1
## 338                  1                 1                   1                1
## 339                  1                 1                   1                1
## 340                  0                 1                   1                1
## 341                  0                 1                   1                1
## 342                  0                 1                   1                1
## 343                  0                 1                   1                1
## 344                  0                 1                   1                1
## 345                  1                 1                   1                1
## 346                  0                 1                   1                1
## 347                  0                 1                   1                1
## 348                  0                 1                   1                1
## 349                  0                 1                   1                1
## 350                  1                 1                   1                1
## 351                  1                 1                   1                1
## 352                  1                 1                   1                1
## 353                  0                 1                   1                1
## 354                  0                 1                   1                1
## 355                  0                 1                   1                1
## 356                  1                 1                   1                1
## 357                  1                 1                   1                1
## 358                  1                 1                   1                1
## 359                  1                 0                   1                0
## 360                  0                 1                   1                1
## 361                  0                 1                   1                1
## 362                  0                 1                   1                1
## 363                  1                 1                   1                1
## 364                  1                 1                   1                1
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## 1663          0         1           0                  14   288
## 1664          0         0           1                   4    80
## 1665          0         0           1                   2    49
## 1666          0         0           1                   2   100
## 1667          0         0           1                   2   126
## 1668          0         1           0                   2   155
## 1669          0         1           0                   4   155
## 1670          0         1           0                   8   135
## 1671          0         0           1                   2   125
## 1672          0         0           1                   2   135
## 1673          0         1           0                   4   155
## 1674          0         0           1                   2    69
## 1675          0         0           1                   2   144
## 1676          0         1           0                   2   314
## 1677          0         0           1                   2   126
## 1678          0         0           1                  46   193
## 1679          0         0           1                  20   554
## 1680          0         0           1                   6   559
## 1681          0         0           1                   2   140
## 1682          0         1           0                   6   230
## 1683          0         1           0                  14   428
## 1684          0         1           0                   2   194
## 1685          0         0           1                   4   145
## 1686          0         0           1                   8   134
## 1687          0         1           0                   2   967
## 1688          0         0           1                   6   112
## 1689          0         1           0                   2   267
## 1690          0         0           1                   4   154
## 1691          0         1           0                   2   337
## 1692          0         0           1                   2   152
## 1693          0         0           1                   6    58
## 1694          0         1           0                   4   180
## 1695          0         1           0                   6   160
## 1696          0         0           1                   4    45
## 1697          0         1           0                   2   223
## 1698          0         0           1                   2   192
## 1699          0         0           1                   2   185
## 1700          0         1           0                   4   259
## 1701          0         0           1                   2   456
## 1702          0         0           1                   2   450
## 1703          0         1           0                   2   160
## 1704          0         1           0                   2   150
## 1705          0         0           1                   2   126
## 1706          0         1           0                   2   181
## 1707          0         1           0                   2   670
## 1708          0         1           0                   6    96
## 1709          0         1           0                   2    88
## 1710          0         0           1                   8   115
## 1711          0         1           0                   2   107
## 1712          0         1           0                   2   160
## 1713          0         1           0                   2   300
## 1714          0         1           0                   4   141
## 1715          0         0           1                  10    75
## 1716          0         1           0                   2   177
## 1717          0         1           0                   2   200
## 1718          0         1           0                   2   157
## 1719          0         0           1                   2   326
## 1720          0         1           0                   2   360
## 1721          0         1           0                   2   189
## 1722          0         1           0                   2   950
## 1723          0         0           1                   2    66
## 1724          0         0           1                   2   430
## 1725          0         1           0                   2   162
vars_list.sin = list_after_2019.sin %>% select_(.dots = c(list_of_vars,"Price")) %>% na.omit()
vars_list.tpe = list_after_2019.tpe %>% select_(.dots = c(list_of_vars,"Price")) %>% na.omit()
vars_list.hkg = list_after_2019.hkg %>% select_(.dots = c(list_of_vars,"Price")) %>% na.omit()
vars_list.nrt = list_after_2019.nrt %>% select_(.dots = c(list_of_vars,"Price")) %>% na.omit()


chart.Correlation(vars_list.sin, histogram=TRUE, pch=19)

clean_corr.sin <- cor(vars_list.sin, use = "complete.obs")
head(round(clean_corr.sin, 2))
##                    reviews_since_2019 Rating Reviews  Beds Capacity
## reviews_since_2019               1.00   0.12    0.81 -0.01     0.04
## Rating                           0.12   1.00    0.11 -0.11    -0.04
## Reviews                          0.81   0.11    1.00  0.00     0.05
## Beds                            -0.01  -0.11    0.00  1.00     0.72
## Capacity                         0.04  -0.04    0.05  0.72     1.00
## Monthly_Reviews                  0.86   0.11    0.76 -0.02     0.04
##                    Monthly_Reviews host_acceptance_rate host_Superhost no_of_am
## reviews_since_2019            0.86                 0.13           0.17     0.03
## Rating                        0.11                 0.13           0.23     0.17
## Reviews                       0.76                 0.03           0.12     0.01
## Beds                         -0.02                -0.25          -0.12    -0.07
## Capacity                      0.04                -0.22          -0.06     0.02
## Monthly_Reviews               1.00                 0.15           0.13    -0.02
##                    Amenities_Wifi Amenities_Shampoo Amenities_Kitchen
## reviews_since_2019           0.02              0.14              0.02
## Rating                       0.05              0.07              0.09
## Reviews                      0.02              0.08             -0.03
## Beds                        -0.11              0.04             -0.22
## Capacity                    -0.02              0.11             -0.09
## Monthly_Reviews              0.03              0.15             -0.01
##                    Amenities_Long_Term Amenities_Washer Amenities_HairDryer
## reviews_since_2019               -0.04            -0.15                0.18
## Rating                            0.00             0.02                0.14
## Reviews                           0.00            -0.09                0.18
## Beds                              0.00             0.04                0.01
## Capacity                          0.02             0.06                0.15
## Monthly_Reviews                  -0.01            -0.17                0.19
##                    Amenities_HotWater Amenities_TV Amenities_AC hv_email
## reviews_since_2019               0.07         0.13        -0.02     0.02
## Rating                           0.13         0.07         0.05     0.07
## Reviews                          0.11         0.12        -0.01     0.05
## Beds                            -0.15        -0.06        -0.05    -0.04
## Capacity                        -0.13         0.14         0.05    -0.04
## Monthly_Reviews                  0.01         0.14         0.01     0.03
##                    hv_facebook hv_reviews hv_manual_offline hv_manual_jumio
## reviews_since_2019        0.14      -0.07              0.01           -0.10
## Rating                    0.03       0.08              0.03            0.05
## Reviews                   0.21       0.09              0.03           -0.09
## Beds                     -0.01      -0.05             -0.01           -0.09
## Capacity                  0.00      -0.06             -0.03           -0.07
## Monthly_Reviews           0.13      -0.13              0.01           -0.11
##                    hv_manual_off_gov hv_manual_gov hv_manual_work_email
## reviews_since_2019              0.08          0.03                -0.02
## Rating                         -0.07         -0.08                 0.01
## Reviews                         0.06          0.04                -0.02
## Beds                            0.05          0.01                -0.01
## Capacity                        0.12          0.04                -0.03
## Monthly_Reviews                 0.07          0.02                -0.04
##                    no_of_vf Days_since_last_review Shared_ind House_ind
## reviews_since_2019     0.00                  -0.29      -0.05      0.06
## Rating                -0.04                  -0.13      -0.09      0.06
## Reviews                0.04                  -0.18       0.00      0.01
## Beds                  -0.04                   0.15       0.41      0.00
## Capacity               0.02                   0.06       0.19      0.26
## Monthly_Reviews       -0.01                  -0.36      -0.04      0.00
##                    Private_ind bookings_since_2019 Price
## reviews_since_2019       -0.04                1.00  0.01
## Rating                   -0.03                0.12  0.01
## Reviews                  -0.01                0.81 -0.07
## Beds                     -0.16               -0.01  0.17
## Capacity                 -0.34                0.04  0.39
## Monthly_Reviews           0.01                0.86  0.02
corrplot(clean_corr.sin)

vars_list.sin = list_after_2019.sin %>% select_(.dots = c(list_of_vars,"Price", "hood_factor")) %>% na.omit()

3 Modelling

3.1 Principal Components Regression

Principal Components Regression could find M linear combinations (“principal components”) of our predictors (list_of_vars) and then use least squares to fit a linear regression model.

set.seed(1)

pcr_model <- function (listings, city)
{
  pcr_model <- pcr( data=listings, scale=TRUE, validation="CV", Price ~ reviews_since_2019 + Rating + host_acceptance_rate +host_Superhost + reviews_since_2019 + Shared_ind + House_ind + Private_ind + Amenities_Wifi + hv_email) #", 
                   # "host_Superhost", "no_of_am","Amenities_Wifi","Amenities_Shampoo","Amenities_Kitchen","Amenities_Long_Term","Amenities_Washer",
                   # "Amenities_HairDryer", "Amenities_HotWater", "Amenities_TV", "Amenities_AC", "hv_email",  "hv_facebook", "hv_reviews",
                   # "hv_manual_offline", "hv_manual_jumio", "hv_manual_off_gov", "hv_manual_gov", "hv_manual_work_email", "no_of_vf", "Days_since_last_review",
                   # , "reviews_since_2019","bookings_since_2019")
  
  summary(pcr_model)
  plot(pcr_model)
  validationplot(pcr_model, val.type="MSEP")
  validationplot(pcr_model, val.type="R2")
  print(paste("MAE for", city,":", mae(listings$Price, predict(pcr_model))))
  return (pcr_model)
}
pcr_model.sin <-pcr_model(list_after_2019.sin, "Singapore")
## Data:    X dimension: 1405 9 
##  Y dimension: 1405 1
## Fit method: svdpc
## Number of components considered: 9
## 
## VALIDATION: RMSEP
## Cross-validated using 10 random segments.
##        (Intercept)  1 comps  2 comps  3 comps  4 comps  5 comps  6 comps
## CV           152.6    142.9    142.1    141.6    142.4    142.2    142.3
## adjCV        152.6    142.9    142.0    141.6    142.3    142.1    142.2
##        7 comps  8 comps  9 comps
## CV       140.8    140.7    140.6
## adjCV    140.7    140.6    140.5
## 
## TRAINING: % variance explained
##        1 comps  2 comps  3 comps  4 comps  5 comps  6 comps  7 comps  8 comps
## X        22.14    40.73    53.25    64.19    74.57    84.27    92.71   100.00
## Price    12.89    13.94    14.45    14.45    15.23    15.23    16.90    17.21
##        9 comps
## X       100.00
## Price    17.21

## Warning in actual - predicted: longer object length is not a multiple of shorter
## object length

## [1] "MAE for Singapore : 108.772298292697"
pcr_model.hkg <-pcr_model(list_after_2019.hkg, "Hong Kong")
## Data:    X dimension: 1945 9 
##  Y dimension: 1945 1
## Fit method: svdpc
## Number of components considered: 9
## 
## VALIDATION: RMSEP
## Cross-validated using 10 random segments.
##        (Intercept)  1 comps  2 comps  3 comps  4 comps  5 comps  6 comps
## CV            2455     2455     2455     2454     2455     2456     2457
## adjCV         2455     2455     2455     2454     2455     2456     2456
##        7 comps  8 comps  9 comps
## CV        2458     2455     2455
## adjCV     2457     2454     2455
## 
## TRAINING: % variance explained
##        1 comps  2 comps  3 comps  4 comps  5 comps  6 comps  7 comps   8 comps
## X      21.7730  37.2315  50.3304  62.1254  72.9752  83.0920  91.9797  100.0000
## Price   0.2567   0.2572   0.4119   0.4395   0.4482   0.5174   0.5345    0.8255
##         9 comps
## X      100.0000
## Price    0.8256

## Warning in actual - predicted: longer object length is not a multiple of shorter
## object length

## [1] "MAE for Hong Kong : 869.547093791851"
pcr_model.tpe <-pcr_model(list_after_2019.tpe, "Taipei")
## Data:    X dimension: 2175 9 
##  Y dimension: 2175 1
## Fit method: svdpc
## Number of components considered: 9
## 
## VALIDATION: RMSEP
## Cross-validated using 10 random segments.
##        (Intercept)  1 comps  2 comps  3 comps  4 comps  5 comps  6 comps
## CV            4229     4170     4170     4153     4154     4156     4148
## adjCV         4229     4170     4169     4153     4153     4156     4148
##        7 comps  8 comps  9 comps
## CV        4134     4131     4132
## adjCV     4133     4130     4131
## 
## TRAINING: % variance explained
##        1 comps  2 comps  3 comps  4 comps  5 comps  6 comps  7 comps  8 comps
## X       24.408   39.493   52.740   64.281   74.915   84.836   93.121  100.000
## Price    2.953    3.029    3.792    3.795    3.795    4.154    4.932    5.071
##        9 comps
## X      100.000
## Price    5.078

## Warning in actual - predicted: longer object length is not a multiple of shorter
## object length

## [1] "MAE for Taipei : 2209.48295156008"
pcr_model.nrt <-pcr_model(list_after_2019.nrt, "Tokyo")
## Data:    X dimension: 7249 9 
##  Y dimension: 7249 1
## Fit method: svdpc
## Number of components considered: 9
## 
## VALIDATION: RMSEP
## Cross-validated using 10 random segments.
##        (Intercept)  1 comps  2 comps  3 comps  4 comps  5 comps  6 comps
## CV           29610    29516    29490    29496    29487    29489    29492
## adjCV        29610    29516    29489    29495    29486    29488    29491
##        7 comps  8 comps  9 comps
## CV       29492    29494    29495
## adjCV    29490    29492    29493
## 
## TRAINING: % variance explained
##        1 comps  2 comps  3 comps  4 comps  5 comps  6 comps  7 comps   8 comps
## X      22.2622  37.4091  49.4255  61.1240  71.8952  82.0212  91.8955  100.0000
## Price   0.6487   0.8555   0.8623   0.9325   0.9325   0.9327   0.9626    0.9718
##         9 comps
## X      100.0000
## Price    0.9733

## Warning in actual - predicted: longer object length is not a multiple of shorter
## object length

## [1] "MAE for Tokyo : 12041.061870605"

The mean absolute error for each city is about $108.

This doesn’t work

# lm0 <- lm(Price ~ Capacity, data = sin_listing.clean)
# summary(lm0)
# stargazer(lm0, type = "text")
#
# ggplot(data = sin_listing.clean, aes(x = Capacity, y = Price)) + geom_point(aes(size=3)) +
# scale_colour_hue(l=50) + # Use a slightly darker palette than normal
# geom_smooth(method=lm,   # Add linear regression lines
#            se=TRUE,    #  add shaded confidence region
#            fullrange=TRUE) +
# theme(axis.text.x = element_text(size=15), axis.text.y = element_text(size=15),
#         axis.title=element_text(size=15,face="bold"))
# # vif(lm0)
# ```
# ```{r}
#
# # The moderating effect of type of room. Lets model that.
#
# lm1 <- lm(Price ~ Private_ind + House_ind, data = sin_listing.clean)
# summary(lm1)
# stargazer(lm1, type = "text")
# ```
# ```{r}
# #Regression with Capacity and Dummy Variables for type of room:
#
# lm2 <- lm(Price ~ Capacity + Private_ind + House_ind, data = sin_listing.clean)
# summary(lm2)
# stargazer(lm2, type = "text")
#Regression with Capacity,Dummy Variables and interaction between the two:
# lm3 <- lm(Price ~ Capacity+Private_ind + House_ind+P_Cap+H_Cap, data = sin_listing.clean)
# summary(lm3)
# stargazer(lm3,type = "text")

Define function to clean

Comments from Kevin: - I have arbitrarily selected most of the variables, removing those which do not make sense (e.g. id, latitude) and those completely N.A. (e.g Baths) - Instead of imputing, I have removed rows with N.A. In the case of SG data, the entries goes from 1725 to 1373.

### For checking number of missing data
# md.pattern(list_after_2019.country)

clean_subset <- function(list_after_2019.country) {
  
### Arbitrary selection of a list of variables 
  selecting_columns <- list_after_2019.sin[,c("Price","Reviews","Beds","Capacity","Monthly_Reviews","Property_Type","Room_Type","Rating","Neighbourhood","host_response_time","host_acceptance_rate","host_Superhost","no_of_am","Amenities_Wifi","Amenities_Shampoo","Amenities_Kitchen","Amenities_Long_Term","Amenities_Washer","Amenities_HairDryer","Amenities_HotWater","Amenities_TV","Amenities_AC","hv_email","hv_phone","hv_facebook","hv_reviews","hv_manual_offline","hv_manual_jumio","hv_manual_off_gov","hv_manual_gov","hv_manual_work_email","no_of_vf","Days_since_last_review","Capacity_Sqr","Beds_Sqr","ln_Price","ln_Beds","ln_Capacity","ln_Rating","Shared_ind","House_ind","Private_ind","Capacity_x_Shared_ind","H_Cap","P_Cap","ln_Capacity_x_Shared_ind","ln_Capacity_x_House_ind","ln_Capacity_x_Private_ind","reviews_since_2019","bookings_since_2019" )]

### Removing rows with blanks instead of imputing
selecting_columns <- na.omit(selecting_columns)
selecting_columns$Property_Type <- as.factor(selecting_columns$Property_Type)
selecting_columns$Neighbourhood  <- as.factor(selecting_columns$Neighbourhood )
selecting_columns$host_response_time <- as.factor(selecting_columns$host_response_time)

  return(selecting_columns)
}

list_after_2019.sin_clean <- clean_subset(list_after_2019.sin)

Feature Selection - Backward Stepwise Regression

Comments from Kevin: Can help to double check if the R-squared value looks too high at 0.80 for a real-world dataset?

#Define Smallest and Full Model 
minmod = lm(Price~1, data = list_after_2019.sin_clean)
fullmod = lm(Price~. , data = list_after_2019.sin_clean)

# Using BIC: k=log(nobs(fullmod), Using AIC: k=2
backward_regression_model <- step(fullmod, scope = list(lower = minmod, upper = fullmod),direction = "backward", k=log(nobs(fullmod)), trace=F)
summary(backward_regression_model)
## 
## Call:
## lm(formula = Price ~ Reviews + Beds + Property_Type + no_of_am + 
##     Amenities_Wifi + Amenities_Shampoo + Amenities_Kitchen + 
##     Amenities_AC + hv_email + Beds_Sqr + ln_Price + ln_Capacity + 
##     H_Cap + ln_Capacity_x_Shared_ind + reviews_since_2019, data = list_after_2019.sin_clean)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -442.12  -30.69   -7.39   20.25 1187.81 
## 
## Coefficients:
##                                                    Estimate Std. Error t value
## (Intercept)                                      -336.36212   46.33642  -7.259
## Reviews                                             0.32310    0.07989   4.044
## Beds                                               10.03377    3.25428   3.083
## Property_TypeCampsite                            -612.44293   56.51970 -10.836
## Property_TypeEntire condominium (condo)          -404.87009   36.00710 -11.244
## Property_TypeEntire guest suite                  -374.24601   59.57493  -6.282
## Property_TypeEntire guesthouse                   -422.43188   59.96987  -7.044
## Property_TypeEntire loft                         -425.48705   52.90468  -8.043
## Property_TypeEntire place                        -423.96570   53.19422  -7.970
## Property_TypeEntire rental unit                  -400.11977   36.06631 -11.094
## Property_TypeEntire residential home             -423.06503   39.55484 -10.696
## Property_TypeEntire serviced apartment           -387.02447   36.11503 -10.716
## Property_TypeEntire townhouse                    -446.83920   59.73765  -7.480
## Property_TypePrivate room                        -360.10476   47.38099  -7.600
## Property_TypePrivate room in bed and breakfast   -352.92331   46.69722  -7.558
## Property_TypePrivate room in bungalow            -342.10256   41.11611  -8.320
## Property_TypePrivate room in condominium (condo) -305.08717   37.32559  -8.174
## Property_TypePrivate room in guest suite         -321.69620   77.28781  -4.162
## Property_TypePrivate room in hostel              -324.48856   43.99763  -7.375
## Property_TypePrivate room in loft                -300.41235   47.46030  -6.330
## Property_TypePrivate room in rental unit         -308.86150   36.76926  -8.400
## Property_TypePrivate room in residential home    -300.71631   37.29825  -8.062
## Property_TypePrivate room in serviced apartment  -362.44730   39.92823  -9.077
## Property_TypePrivate room in townhouse           -318.48032   38.76834  -8.215
## Property_TypePrivate room in villa               -338.99329   45.00957  -7.532
## Property_TypeRoom in aparthotel                  -339.41093   77.04669  -4.405
## Property_TypeRoom in boutique hotel              -371.19770   36.70260 -10.114
## Property_TypeRoom in hotel                       -363.27003   37.77123  -9.618
## Property_TypeShared room                         -319.76549   50.30066  -6.357
## Property_TypeShared room in bed and breakfast    -346.62706   46.35951  -7.477
## Property_TypeShared room in boutique hotel       -387.26634   54.79685  -7.067
## Property_TypeShared room in hostel               -393.23235   47.33375  -8.308
## Property_TypeShared room in rental unit          -323.00463   51.00462  -6.333
## Property_TypeShared room in residential home     -309.93215   63.17733  -4.906
## Property_TypeTent                                -550.08492   78.02868  -7.050
## Property_TypeTiny house                          -406.05005   59.50874  -6.823
## no_of_am                                            0.85362    0.24971   3.418
## Amenities_Wifi                                   -103.91579   19.54933  -5.316
## Amenities_Shampoo                                 -26.75307    4.80026  -5.573
## Amenities_Kitchen                                 -19.37942    6.41145  -3.023
## Amenities_AC                                      -54.02441   14.52273  -3.720
## hv_email                                           23.25507    7.81535   2.976
## Beds_Sqr                                           -0.46493    0.13578  -3.424
## ln_Price                                          218.42636    4.68609  46.612
## ln_Capacity                                       -71.31736   10.24705  -6.960
## H_Cap                                              15.87035    2.24254   7.077
## ln_Capacity_x_Shared_ind                          106.91527   18.13406   5.896
## reviews_since_2019                                 -0.62028    0.13936  -4.451
##                                                  Pr(>|t|)    
## (Intercept)                                      6.62e-13 ***
## Reviews                                          5.55e-05 ***
## Beds                                             0.002090 ** 
## Property_TypeCampsite                             < 2e-16 ***
## Property_TypeEntire condominium (condo)           < 2e-16 ***
## Property_TypeEntire guest suite                  4.53e-10 ***
## Property_TypeEntire guesthouse                   2.99e-12 ***
## Property_TypeEntire loft                         1.94e-15 ***
## Property_TypeEntire place                        3.39e-15 ***
## Property_TypeEntire rental unit                   < 2e-16 ***
## Property_TypeEntire residential home              < 2e-16 ***
## Property_TypeEntire serviced apartment            < 2e-16 ***
## Property_TypeEntire townhouse                    1.35e-13 ***
## Property_TypePrivate room                        5.57e-14 ***
## Property_TypePrivate room in bed and breakfast   7.62e-14 ***
## Property_TypePrivate room in bungalow             < 2e-16 ***
## Property_TypePrivate room in condominium (condo) 6.92e-16 ***
## Property_TypePrivate room in guest suite         3.35e-05 ***
## Property_TypePrivate room in hostel              2.88e-13 ***
## Property_TypePrivate room in loft                3.35e-10 ***
## Property_TypePrivate room in rental unit          < 2e-16 ***
## Property_TypePrivate room in residential home    1.66e-15 ***
## Property_TypePrivate room in serviced apartment   < 2e-16 ***
## Property_TypePrivate room in townhouse           4.99e-16 ***
## Property_TypePrivate room in villa               9.24e-14 ***
## Property_TypeRoom in aparthotel                  1.14e-05 ***
## Property_TypeRoom in boutique hotel               < 2e-16 ***
## Property_TypeRoom in hotel                        < 2e-16 ***
## Property_TypeShared room                         2.82e-10 ***
## Property_TypeShared room in bed and breakfast    1.38e-13 ***
## Property_TypeShared room in boutique hotel       2.55e-12 ***
## Property_TypeShared room in hostel               2.39e-16 ***
## Property_TypeShared room in rental unit          3.29e-10 ***
## Property_TypeShared room in residential home     1.05e-06 ***
## Property_TypeTent                                2.88e-12 ***
## Property_TypeTiny house                          1.35e-11 ***
## no_of_am                                         0.000649 ***
## Amenities_Wifi                                   1.25e-07 ***
## Amenities_Shampoo                                3.03e-08 ***
## Amenities_Kitchen                                0.002554 ** 
## Amenities_AC                                     0.000208 ***
## hv_email                                         0.002978 ** 
## Beds_Sqr                                         0.000635 ***
## ln_Price                                          < 2e-16 ***
## ln_Capacity                                      5.34e-12 ***
## H_Cap                                            2.38e-12 ***
## ln_Capacity_x_Shared_ind                         4.72e-09 ***
## reviews_since_2019                               9.27e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 67.9 on 1325 degrees of freedom
## Multiple R-squared:   0.81,  Adjusted R-squared:  0.8032 
## F-statistic: 120.2 on 47 and 1325 DF,  p-value: < 2.2e-16
# Putting forward stepwise regression in comments in case we need to use 
# forward_regression = step(minmod, scope = list(lower = minmod, upper = fullmod),direction = "forward", k=log(nobs(fullmod)), trace=F)
# summary(forward_regression)

Training the Model

set.seed(123)
# Splitting the data into 80:20
train_idx <- sample(1:nrow(list_after_2019.sin_clean), 0.8*nrow(list_after_2019.sin_clean)) 
training_sin <- list_after_2019.sin_clean[train_idx,]
testing_sin <- list_after_2019.sin_clean[-train_idx,]

final_model_sin <- lm(formula = Price ~ ln_Price + Property_Type + ln_Capacity_x_Private_ind + 
    Capacity + Amenities_Wifi + Amenities_Shampoo + Amenities_AC + 
    no_of_am + Amenities_Kitchen + hv_email, data = training_sin)
summary(final_model_sin)
## 
## Call:
## lm(formula = Price ~ ln_Price + Property_Type + ln_Capacity_x_Private_ind + 
##     Capacity + Amenities_Wifi + Amenities_Shampoo + Amenities_AC + 
##     no_of_am + Amenities_Kitchen + hv_email, data = training_sin)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -410.08  -32.78   -7.09   24.00 1196.07 
## 
## Coefficients:
##                                                   Estimate Std. Error t value
## (Intercept)                                      -424.8837    51.2040  -8.298
## ln_Price                                          219.6829     5.0341  43.639
## Property_TypeCampsite                            -595.0186    60.3870  -9.853
## Property_TypeEntire condominium (condo)          -372.3346    37.4185  -9.951
## Property_TypeEntire guest suite                  -338.4095    63.2327  -5.352
## Property_TypeEntire guesthouse                   -357.4847    81.3368  -4.395
## Property_TypeEntire loft                         -400.6474    81.1304  -4.938
## Property_TypeEntire place                        -382.1517    56.0709  -6.816
## Property_TypeEntire rental unit                  -362.0118    37.5349  -9.645
## Property_TypeEntire residential home             -382.4777    41.7566  -9.160
## Property_TypeEntire serviced apartment           -345.4811    37.4602  -9.223
## Property_TypeEntire townhouse                    -411.3871    63.1003  -6.520
## Property_TypePrivate room                        -258.9714    53.9745  -4.798
## Property_TypePrivate room in bed and breakfast   -257.4717    55.3228  -4.654
## Property_TypePrivate room in bungalow            -241.7481    45.8062  -5.278
## Property_TypePrivate room in condominium (condo) -205.8855    41.1581  -5.002
## Property_TypePrivate room in guest suite         -227.2684    82.9654  -2.739
## Property_TypePrivate room in hostel              -232.9576    55.0536  -4.231
## Property_TypePrivate room in loft                -208.0485    51.7502  -4.020
## Property_TypePrivate room in rental unit         -206.8144    40.4686  -5.110
## Property_TypePrivate room in residential home    -199.0148    41.7347  -4.769
## Property_TypePrivate room in serviced apartment  -264.9364    45.1590  -5.867
## Property_TypePrivate room in townhouse           -218.4113    44.5380  -4.904
## Property_TypePrivate room in villa               -234.0597    52.7938  -4.433
## Property_TypeRoom in aparthotel                  -241.6445    82.4276  -2.932
## Property_TypeRoom in boutique hotel              -284.8855    41.1833  -6.918
## Property_TypeRoom in hotel                       -267.9793    41.7109  -6.425
## Property_TypeShared room                         -186.7206    49.1121  -3.802
## Property_TypeShared room in bed and breakfast    -200.6376    44.9283  -4.466
## Property_TypeShared room in boutique hotel       -267.6705    56.5970  -4.729
## Property_TypeShared room in hostel               -246.8231    42.8733  -5.757
## Property_TypeShared room in rental unit          -176.6594    53.0975  -3.327
## Property_TypeShared room in residential home     -173.6442    64.7973  -2.680
## Property_TypeTent                                -545.9528    82.9690  -6.580
## Property_TypeTiny house                          -387.0692    81.1098  -4.772
## ln_Capacity_x_Private_ind                         -77.3574    12.2706  -6.304
## Capacity                                            6.2504     1.4168   4.412
## Amenities_Wifi                                   -136.0849    22.9387  -5.933
## Amenities_Shampoo                                 -25.2203     5.6615  -4.455
## Amenities_AC                                      -37.5466    17.6964  -2.122
## no_of_am                                            0.9322     0.2995   3.112
## Amenities_Kitchen                                 -21.4168     7.7589  -2.760
## hv_email                                           29.3148     9.7303   3.013
##                                                  Pr(>|t|)    
## (Intercept)                                      3.21e-16 ***
## ln_Price                                          < 2e-16 ***
## Property_TypeCampsite                             < 2e-16 ***
## Property_TypeEntire condominium (condo)           < 2e-16 ***
## Property_TypeEntire guest suite                  1.07e-07 ***
## Property_TypeEntire guesthouse                   1.22e-05 ***
## Property_TypeEntire loft                         9.16e-07 ***
## Property_TypeEntire place                        1.58e-11 ***
## Property_TypeEntire rental unit                   < 2e-16 ***
## Property_TypeEntire residential home              < 2e-16 ***
## Property_TypeEntire serviced apartment            < 2e-16 ***
## Property_TypeEntire townhouse                    1.09e-10 ***
## Property_TypePrivate room                        1.83e-06 ***
## Property_TypePrivate room in bed and breakfast   3.67e-06 ***
## Property_TypePrivate room in bungalow            1.59e-07 ***
## Property_TypePrivate room in condominium (condo) 6.63e-07 ***
## Property_TypePrivate room in guest suite         0.006261 ** 
## Property_TypePrivate room in hostel              2.52e-05 ***
## Property_TypePrivate room in loft                6.23e-05 ***
## Property_TypePrivate room in rental unit         3.81e-07 ***
## Property_TypePrivate room in residential home    2.12e-06 ***
## Property_TypePrivate room in serviced apartment  5.94e-09 ***
## Property_TypePrivate room in townhouse           1.09e-06 ***
## Property_TypePrivate room in villa               1.02e-05 ***
## Property_TypeRoom in aparthotel                  0.003445 ** 
## Property_TypeRoom in boutique hotel              7.96e-12 ***
## Property_TypeRoom in hotel                       2.00e-10 ***
## Property_TypeShared room                         0.000152 ***
## Property_TypeShared room in bed and breakfast    8.84e-06 ***
## Property_TypeShared room in boutique hotel       2.56e-06 ***
## Property_TypeShared room in hostel               1.12e-08 ***
## Property_TypeShared room in rental unit          0.000908 ***
## Property_TypeShared room in residential home     0.007481 ** 
## Property_TypeTent                                7.39e-11 ***
## Property_TypeTiny house                          2.08e-06 ***
## ln_Capacity_x_Private_ind                        4.25e-10 ***
## Capacity                                         1.13e-05 ***
## Amenities_Wifi                                   4.04e-09 ***
## Amenities_Shampoo                                9.30e-06 ***
## Amenities_AC                                     0.034095 *  
## no_of_am                                         0.001908 ** 
## Amenities_Kitchen                                0.005875 ** 
## hv_email                                         0.002651 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 72.22 on 1055 degrees of freedom
## Multiple R-squared:  0.8031, Adjusted R-squared:  0.7952 
## F-statistic: 102.4 on 42 and 1055 DF,  p-value: < 2.2e-16

Checking Predictive Power and Mean absolute prediction error (MAE)

Comments from Kevin: Calculated the MAE value, but this number is probably more useful if its a comparison between models.

predict_sin <- predict(final_model_sin,newdata=testing_sin)
MAE_sin <- mean(abs(predict_sin - testing_sin$Price))

Checking for Assumptions on Outliers and Multicollinearity

Comments from Kevin: There seems to be out-lying points and issue of multicollinearity - we could either try to resolve or in the interest of time, just state that this is subsequently something we could look into

cook=cooks.distance(final_model_sin)
plot(cook,type='h',lwd=3,ylab="Cook's Distance")

vif(final_model_sin)
##                                 GVIF Df GVIF^(1/(2*Df))
## ln_Price                    2.920011  1        1.708804
## Property_Type             125.889002 33        1.076014
## ln_Capacity_x_Private_ind  10.885166  1        3.299268
## Capacity                    2.055544  1        1.433717
## Amenities_Wifi              1.492684  1        1.221754
## Amenities_Shampoo           1.489170  1        1.220316
## Amenities_AC                1.294541  1        1.137779
## no_of_am                    1.562050  1        1.249820
## Amenities_Kitchen           1.895419  1        1.376742
## hv_email                    1.110136  1        1.053630